The Fundamental Theorem of Calculus

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Questions

• What is the Fundamental Theorem of Calculus for integrals?
• How does the fundamental theorem of calculus connect derivatives and integrals?
• How do you use the Fundamental Theorem of Calculus to evaluate an integral?
• How do you evaluate the integral #int_0^1x^2dx# ?
• How do you evaluate the integral #int_0^(pi/4)cos(x)dx# ?
• How do you evaluate the integral #int_1^(4)1/xdx# ?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #f(x)=int_1^(x)sqrt(e^t+sin(t))dt# ?
• How do you solve the AP Calculus 2013 Free Response question #4? http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap13_frq_calculus_ab.pdf
• How do you differentiate #G(x) = intsqrtt sint dt# from #sqrt(x)# to #x^3#?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #y=int_("[e"^x",5]") 5(sin(t))^5 dt#?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x)=int_4^(1/x) arctan(3t) dt#?
• How do you find the derivative of #F(x) = int sqrt(1+sec(3t)) dt#?
• How do you find the derivative of #y= int 6*(sin(t))^2 dt# from a=e^x to b=1?
• How do you find the derivative of #g(x) = int_3^x e^(4t²-t) dt# ?
• How do you use the first part of the Fundamental Theorem of Calculus to find the derivative of #y = int 3(sin(t))^4 dt# from #e^x# to 1?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function of #y=int sqrt(2t+sqrt(t))dt# from 5 to #tanx#?
• How do you find the derivative of #g(x) = int 9*sqrt(1+t^8)dt# from 7 to #x^2#?
• How do you use part I of the Fundamental Theorem of Calculus to find the derivative of: #f(x)= int(((1/3)t^2)-1)^7dt# from x to 3?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #int sqrt (2 + sec 7t)#?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x) = int sqrt(6 + r^3) dx# from 7 to #x^2#?
• How do you use part 1 of Fundamental Theorem of Calculus to find the derivative of the function #y=int (6+v^2)^10 dv# from sinx to cosx?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x) = int arctan t dt# from [2,1/x]?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function # h(x) = 1/x int 2 arctan t dt#?
• How do you use Part 1 of the fundamental theorem of calculus to find the derivative of the function #y= int (1+v^2)^10 dv# from sinx to cosx? Please help have been looking at problem for a hour can't figure out how to work it?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #y=int sqrt[5t +sqrt(t)] dt# from 2 to tanx?
• How do you use part I of the Fundamental Theorem of Calculus to find the derivative of #h(x) = int (cos(t^4) + t) dt# from -4 to sinx? Can someone walk me through this? I'm having a lot of issues getting a grasp on how to do this.?
• How do you use part 1 of the fundamental theorem of calculus to find f ' (4) for #f(x) = int sqrt ((t^2)+3) dt# from 1 to x?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #f(x)=int sqrt(4+sec(t))dt# from #[x, pi]#?
• How do you use part 1 of the fundamental theorem of calculus to find the derivative of #g(x)= int cos(sqrt( t))dt# 6 to x?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #y = int (6+v^8)^3 dv# from 1 to cos(x)?
• How do you use part I of the Fundamental Theorem of Calculus to find the derivative of #f(x) = int {1} / {1+t^{2}} dt# from x to 5?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #y = int(sqrt(2t+sqrt(t))dt)# from 2 to tanx?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x)= sqrt(3+r^3) dr# for a=1, #b=x^2#?
• How do you calculate the derivative of #d/dx∫sin^2tdt# from 0 to x?
• How do you use part 1 of the Fundamental Theorem of Calculus to find the derivative of #y=int(sqrtt sintdt)# from #[x^3, sqrtx]#?
• How do you use part one of the fundamental theorem of calculus to find the derivative of the function #g(x)= intcos(t^10) dt# from [cos(x) to 10x] ?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #g(x) = int(1 / (t^3 + 1)) dt# from [1,x]?
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #y = int sin^3 t dt# from #[e^x, 0]#?
• How do you find the derivative of #f(x) =intcos 2t dt# over #[x,pi/4]#?
• How do you find the derivative of integral of #x^2*sin(t^2)dt# from 0 to x?
• How do you find the derivative of #int xe^(3x^2+1) dx# from 0 to 1?
• How do you calculate the derivative of #int(cos(t^3)+t)# from #x=4# to #x=sinx#?
• How do you calculate the derivative of #int(2t-1)^3 dt # from #t=x^2# to #t=x^7#?
• How do you calculate the derivative of #int(2x+3)^2dx# from #x=-1# to #x=0#?
• How do you calculate the derivative of #(cos(t^2)+t) dt# from #t=-5# to #t=sinx#?
• How do you calculate the derivative of #intcos(t)/t dt# from #[x,3]#?
• How do you calculate the derivative of #int5(sin(t))^5 dt# from #[e^x,5]#?
• How do you calculate the derivative of #[int(sqrt(1+(dy/dx)^2)/60 dx)]#?
• How do you calculate the derivative of #intarctan t dt # from #[2,1/x]#?
• How do you calculate the derivative of #int3(sin(t))^4 dt# from #[e^x,1]#?
• How do you calculate the derivative of #intsin^3(2t-1) dt # from #[x, x-1]#?
• How do you calculate the value of the integral #inte^(4t²-t) dt# from #[3,x]#?
• How do you calculate the derivative of #intsqrt(1+ sec(t)) dt# from #[x, pi]#?
• How do you calculate the derivative of #intsqrt(3t+ sqrt(t)) dt# from #[5, tanx]#?
• How do you calculate the derivative of #int(6t + sqrt(t)) dt# from #[1, tanx]#?
• How do you calculate the derivative of #intsqrt((x^3-2x+6) )dx# from #[x^2,-2]#?
• What is the purpose of the fundamental theorem of calculus?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos 2t dt# from x to pi/4?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int (t^3-2t+6) dt # from #[-2, x^2]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int sin^3(2t-1) dt# from #[x-1, x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int (t^2 +3t+2)dt# from #[-3, x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int sect tant dt# from #[0, x^3]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int sqrt(x^3-2x+6) dx# from #[-2, x^2]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int tan(t) dt# from #[1, x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int (cos(t^3))# from #[cosx, 7x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int dx/lnx# from #[x^2, x^3]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int 1/(t^5) dt# from #[1,x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int dt/(2+3sqrtt)# from #[0,x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int t^(1/4) dt# from #[1,x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int [(ln(t)^(2))/t]dt# from #[3,x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int 3/t^2 dt# from #[1,x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int (t^2+1)^20 dt# from #[1,x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int arctan(3t) dt# from #[4,1/x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int ((sin^3)(t))dt# from #[0, e^x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int dt/sqrt( 1 + t^2) # from #[x, 2x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int (2t-1)^3 dt# from #[x^2, x^7]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int (1)/(2+sin(t))# from #[0, lnx]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int (cos(t^2)+t) dt# from #[-5, sinx]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos(sqrt( t))dt# from #[6, x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int sqrt((t^3)+1)# from #[-1, x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos(t) / t dt # from #[3, x]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos(t) / t dt # from #[3, sqrtx]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int tan(t^4)-1) dt# from #[1, x^3]#?
• How do you use the second fundamental theorem of Calculus to find the derivative of given #int sqrt(6 + r^3) dr# from #[7, x^2]#?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int e^(4t²-t) dt# from 3 to x?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int sqrt(1+ sec(t)) dt# from x to pi?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int sqrt(3t+ sqrt(t)) dt# from 5 to tanx?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int sqrt(6t + sqrt (t)) dt# from 1 to tanx?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int (u^3) / (1+u^2) du# from 2-3x to 5?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int (cos(t^4) + t) dt# from -4 to sinx?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int xsin(πx) # from 1 to x^2?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int 6*(sin(t))^2 dt# from 1 to e^x?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int (2t - 1)^3dt# from x^5 to x^6?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int {1} / {1+t^{2}} dt# from x to 5?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int sqrt (2 + sec 7t)# from x to pi?
• How do you use the Fundamental Theorem of Calculus to find the derivative of #int 5(sin(t))^5 dt# from 5 to e^x?
• Question #1b08c
• How do you find the derivative of #G(x)=int (t^2-3t)dt# from #[1,pi]#?
• How do you find the derivative of #G(x)=int (t^2-3t)dt# from #[1,x^2]#?
• How do you find the derivative of #G(x)=int (e^(t^2))dt# from #[1,x]#?
• How do you find the derivative of #G(x)=int (e^(t^2))dt# from #[1,x^2]#?
• How do you find the derivative of #G(x)=int (tan(t^2))dt# from #[1,x]#?
• How do you find the derivative of #G(x)=int (tan(t^2))dt# from #[1,x^2]#?
• How do you find #F'(x)# given #F(x)=int 1/t dt# from #[1,x]#?
• How do you find #F'(x)# given #F(x)=int tant dt# from #[0,x]#?
• How do you find #F'(x)# given #F(x)=int 1/t dt# from #[1,3x]#?
• How do you find #F'(x)# given #F(x)=int 1/t dt# from #[1,x^2]#?
• How do you find the derivative of #F(x)=cose^tdt# from #[pi, lnx]#?
• How do you find the derivative of #F(x)=int ln(t+1)dt# from #[0, e^(2x)]#?
• How do you use the fundamental theorem of calculus to find F'(x) given #F(x)=int t^2sqrt(1-t^3)dt# from [0,x]?
• How do you use the fundamental theorem of calculus to find F'(x) given #F(x)=int 1/t^2dt# from [1,x]?
• How do you use the fundamental theorem of calculus to find F'(x) given #F(x)=int (t^2+3t+2)dt# from [-3,x]?
• How do you use the fundamental theorem of calculus to find F'(x) given #F(x)=int (csc^2t)dt# from [0,x]?
• Show that #1<=(1+x^3)^(1/2)<=1+x^3# for #x>=0# ?
• Question #56ea9
• How do you integrate #int_1^eln(x)/xdx#?
• Find all values of k for which integral of x^2 from 2 to k =0 ?
• What is the derivative of # int_x^(x^2) t^3 \ dt # wrt #x#?
• What is the derivative of #int_(cosx)^(7x) \ cost^3 \ dt # wrt #x#?
• Find the derivative of #int_0^(x^3e^x) \(t^3+3)^17 \ dt#?