Formal Definition of the Definite Integral
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Formal Definition of the Definite IntegralQuestions
- What is the Formal Definition of the Definite Integral of the function #y=f(x)# over the interval #[a,b]# ?
- How do you use the definition of the definite integral?
- What is the integral of dy/dx?
- What is an improper integral?
- How do you calculate the double integral of #(xcos(x+y))dr# where r is the region: 0 less than or equal to x less then or equal to #(2pi)/6#, 0 less than or equal to y less than or equal to #(2pi)/4#?
- How do you apply the evaluation theorem to evaluate the integral #3t dt# over the interval [0,3]?
- What is the difference between an antiderivative and an integral?
- How do you integrate #3x^2-5x+9# from 0 to 7?
- Question #f27d5
- How do you evaluate the definite integral #int sqrtt ln(t)dt# from 2 to 1?
- How do you evaluate the definite integral #int 2(pi)x(cos^(-1)(x))dx# from 0 to 1?
- How do you evaluate the definite integral #int -8/3*2^xdx# from -2 to 9?
- How do you evaluate the definite integral #int (1 + ln x)^2 / x# from 1 to e?
- How do you evaluate the definite integral #int (x+6)^2dx# from [0,4]?
- How do you evaluate the definite integral #int ((6x^2+8)/(sqrt(x)))dx# from [3,9]?
- How do you evaluate the definite integral #int sin^(5)x * cos^(20)x dx# from [0,pi/2]?
- How do you evaluate the definite integral #int dx/(x(1+ln(x)))# from #[1,e^6]#?
- How do you evaluate the definite integral #int (x^45)(cos(x^46)) dx# from #[0,(pi)^(1/46)]#?
- How do you evaluate the definite integral #int 4/sin^2(z) dz# from #[pi/6, pi/2]#?
- How do you evaluate the definite integral #int (6x^2 - 4e^(2x))dx# from #[0,2]#?
- How do you evaluate the definite integral #int 15x^2(1+x^3)^4# from #[-1,1]#?
- How do you evaluate the definite integral #int e^(sin(x))*cosx dx# from #[0,pi]#?
- How do you evaluate the definite integral #int (csc(6theta)-cot(6theta))^2 theta# from #[5,6]#?
- How do you evaluate the definite integral #int((sqrtx + 1)/(4sqrtx))^2 dx # from #[3,9]#?
- How do you evaluate the definite integral #intsec^2(t/4) # from #[0, pi]#?
- How do you evaluate the definite integral #int dx / ( x(sqrt(ln(x)))# from #[e, e^81]#?
- How do you evaluate the definite integral #int sqrt[2+3t^4) dt# from #[4,7]#?
- How do you evaluate the definite integral #int (2)/(2x+5) * dx# from #[1, e]#?
- How do you evaluate the definite integral #int (dx/(xsqrt(lnx)))# from #[1, e^6]#?
- How do you evaluate the definite integral #int|x^3+64| dx# from #[-8,0]#?
- How do you evaluate the definite integral #int x^(3) dx # from #[b, 2b]#?
- How do you evaluate the definite integral #intte^(-t)dt# from #[0,6]#?
- How do you evaluate the definite integral #int tan^2(3x)dx# from #[-pi/10, pi/11]#?
- How do you evaluate the definite integral #int t sqrt( t^2+1dt)# bounded by #[0,sqrt7]#?
- How do you evaluate the definite integral #int (4x)/sqrt(x^2+1) dx# from # [-sqrt3, sqrt3]#?
- How do you evaluate the definite integral #int (x^2 + 1)dx# from # [1,2]#?
- How do you evaluate the definite integral #int (dx/(xsqrtlnx))# from # [1,e^3]#?
- How do you evaluate the definite integral #int abs(x-1)dx# from # [0,5]#?
- How do you find the definite integral for: #(2-x^2)dx# for the intervals [2,-1]?
- How do you find the definite integral for: #root3(x^2)# for the intervals [-1,1]?
- How do you find the definite integral for: #(1) / (sqrt(1 + x))# for the intervals [0,3]?
- How do you find the definite integral for: #(x^2(x^3 + 1)^3)# for the intervals [0,1]?
- How do you find the definite integral for: # x^2 + x + 4# for the intervals [0,2]?
- How do you find the definite integral for: #xcos(5x^2) dx# for the intervals #[0,4sqrtpi]#?
- How do you find the definite integral for: #tln(t) dt# for the intervals #[1, 10]#?
- How do you find the definite integral for: #(x^43) (e^(-x^(44)) dx)# for the intervals #[0, 1]#?
- How do you find the definite integral for: #xdx# for the intervals #[12, 14]#?
- How do you find the definite integral for: #2(pi)x(cos^(-1)(x))dx# for the intervals #[0, 1]#?
- How do you find the definite integral for: #(9-x^2)^(1/2)# for the intervals #[-3, 3]#?
- How do you find the definite integral for: #(3x^2+2x+3) dx# for the intervals #[0, 6]#?
- How do you find the definite integral for: #(x+1)^(2)dx# for the intervals #[-7, 0]#?
- How do you find the definite integral for: #(1/x^(2))dx# for the intervals #[5, 6]#?
- How do you find the definite integral for: #((2x^(2) +3)dx# for the intervals #[4, 6]#?
- How do you find the definite integral for: #((x^(6))dx# for the intervals #[b, 2b]#?
- How do you find the definite integral for: #(6x+3)dx# for the intervals #[3, 9]#?
- How do you find the definite integral for: #[(6x^2+2) / sqrt(x)] dx # for the intervals #[1, 5]#?
- How do you find the definite integral for: #10sin(x)dx# for the intervals #[0, pi]#?
- How do you find the definite integral for: #e^sin(x) * cos(x) dx# for the intervals #[0, pi/4]#?
- How do you find the definite integral for: # dx / (x sqrt(lnx))# for the intervals #[1, e^8]#?
- How do you find the definite integral for: # e^(5x) dx# for the intervals #[0, 1]#?
- How do you find the definite integral for: #2 / (4+x^2) dx# for the intervals #[0, 2]#?
- How do you find the definite integral for: #int_(pi/4)^(pi/3)sin(2p) / (1+cos^2(p)) dp#?
- How do you find the definite integral for: #(sqrt(b^2-a^2)) da# for the intervals #[0, b]#?
- How do you find the definite integral for: #(2+3x) / (4+x2) dx# for the intervals #[0, 1]#?
- How do you find the definite integral for: #sqrt(4+3(t^4))dt # for the intervals #[1, 4]#?
- How do you find the definite integral for: #sin^(2) (5x) * cos^(2) (5x) dx # for the intervals #[8, 11]#?
- How do you find the definite integral #int_(pi/2)^((5pi)/2) x^2 cos (1/5x)dx# ?
- How do you find the definite integral for: #x dx# for the intervals #[2, 4]#?
- How do you find the definite integral for: # 1/x^2# for the intervals #[0, 1]#?
- How do you find the definite integral for: #x^2 dx# for the intervals #[2, 5]#?
- How do you find the definite integral for: #dx /(a cos^2x + b sin^2 x)^2# for the intervals #[0, pi]#?
- How do you find the definite integral: #int_0^4 4 sqrtx dx#?
- How do you find the definite integral for: #((2x)/(1+x^2)^(1/3))dx# for the intervals #[0, sqrt7]#?
- How do you find the definite integral for: #cos(x)# for the intervals #[-pi, pi]#?
- How do you find the definite integral for: #xe^(x^2 + 2) # for the intervals #[0, 2]#?
- How do you find the definite integral for: #(cos(sqrt(x)))/(sqrt(x))# for the intervals #[1, 4]#?
- How do you find the definite integral of #x/sqrt(2x+1)# from #[0,4]#?
- How do you find the definite integral of #(x^3+x^4(tanx))dx# from #[-pi/4, pi/4]#?
- How do you find the definite integral of #3x^2 sqrt(x^3+1)dx# from #[-1, 1]#?
- How do you find the definite integral of #sqrt(y+1)dy# from #[0,3]#?
- How do you find the definite integral of #(1/x^2)*sin[(x-1)/x] dx# from #[1,2]#?
- How do you find the definite integral of #tan x dx# from #[pi/4, pi]#?
- How do you find the definite integral of #2x* (x-3)^5 dx# from #[-1, 2]#?
- How do you find the definite integral of #x^2dx / (x^3 + 9)# from #[-1, 1]#?
- How do you find the definite integral of #5xcos(x^2)dx# from #[0, sqrtpi]#?
- How do you find the definite integral of #(dx)/ (sqrtxsin(sqrtx)# from #[pi^2, 4pi^2]#?
- How do you find the definite integral of #t^3(1 + t^4)^3 dt# from #[-1, 1]#?
- How do you find the definite integral of #dx/ (x+2)# from #[0, 7]#?
- How do you find the definite integral of # (xdx) / ((x^2 + 1)ln(x^2 + 1))# from #[1,2]#?
- How do you find the definite integral of #(3x^3 +7) dx # from #[1, 5]#?
- How do you find the definite integral of #2 / (4+x^2) dx# from #[0, 2]#?
- How do you find the definite integral of #cot x csc^5 x dx# from #[pi/6, pi/2]#?
- How do you find the definite integral of #(dx)/(xsqrt(ln(x))# from #[e^4, e^16]#?
- How do you find the definite integral of #(x^2)(sqrt5x+6)dx# from #[0, 1]#?
- How do you find the definite integral of #t^7cos(t^4) # from #[pi^(1/4), (pi/2)^(1/4)]#?
- How do you find the definite integral of #(sqrt(2x+1))dx# from #[1, 4]#?
- How do you find the definite integral of #2/(sqrt(x) *e^-sqrt(x))# from #[1, 4]#?
- How do you find the definite integral of #sqrt(y+1)*dy# from #[-1, 0]#?
- How do you find the definite integral of #(e^sin(x))cos(x) dx# from #[0, pi]#?
- How do you find the definite integral of #x * e^ (-x^2) dx# from #[1, sqrt2]#?
- How do you find the definite integral of #(lnx^3)/x# from #[1, e]#?
- How do you find the definite integral of #xsqrt(x - 40)dx# from #[40, 41]#?
- How do you find the definite integral of #e^(x^2) dx# from #[2, 3]#?
- How do you find the definite integral of # [x / (sqrt(x+8))] dx# from #[0, 6]#?
- How do you find the definite integral of #(x dx) / [(x^2 +1)(ln (x^2 +1))]# from #[1, 2]#?
- How do you find the definite integral of #x*sqrt(1-x^4) dx# from #[0, 1]#?
- How do you find the integral of #1/(x^(1/2))sin(x^(1/2))#?
- How do you find the integral of #x^2(sec(x^3))^2#?
- How do you find the definite integral of #x^2 * sqrt (x^3 + 1) * dx# in the interval #[1,2]#?
- How do you find the definite integral of #(x^3)/sqrt(16 - x^2)# in the interval #[0, 2sqrt3]#?
- How do you find the definite integral of #cos^4 x sin x dx# in the interval #[0, pi/3]#?
- How do you find the definite integral of #xe^(x^2 + 2) # in the interval #[0, 2]#?
- How do you find the Improper integral #e^[(-x^2)/2]# from #x=-∞# to #x=∞#?
- How do you find the Improper integral #int (x^2)e^[(-x^2)/2] dx # from x=-∞ to x=∞?
- How do you find the antiderivative of #f(x)=x^6#?
- How do you find the antiderivative of #f(x)=4x^2-6x+7#?
- How do you find the antiderivative of #f(x)=12x^2-6x+1#?
- How do you find the antiderivative of #f(x)=8x^3+5x^2-9x+3#?
- How do you find the antiderivative of #f(x)=1/4x^4-2/3x^2+4#?
- How do you find the antiderivative of #f(x)=(2x+3)(3x-7)#?
- How do you find the antiderivative of #f(x)=(2x^2-5x-3)/(x-3)#?
- How do you find f given #f''(x)=-2+36x-12x^2# and f(0)=2, f'(0)=1?
- How do you find the antiderivative of #f(x)=x^5#?
- How do you find the antiderivative of #f(x)=2x^2-8x+2#?
- How do you find the antiderivative of #f(x)=1/5x^4-3/4x-1#?
- How do you find the antiderivative of #f(x)=(x^3-2x^2+x)/x#?
- Question #a9af4
- Express the integral as a limit of Riemann sums?
- Given information about the fill and empty rate, how do I find the volume after t minutes?
- Why do the limits of integration need to be changed if we perform a substitution?