Answers edited by Frederico Guizini S.
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Question #25ffa

How do you evaluate #int (x^3 + 2x^2 + 5x  2)/(x^2 + 2x + 2)^2 dx#?

How do you integrate #ln (x^2+14x+24)dx#?

What's the derivative of #arctan [(1x)/(1+x)]^(1/2)#?

How do you integrate? dx/sqrt(4x^28x1)

The region under the curves #x=0, x=yy^4# is rotated about a) the x axis and b) the y axis. How do you sketch the region and find the volumes of the two solids of revolution?

How do you integrate #int sec^2x/(1+tanx)^3# using substitution?

How do you find critical point for this equation #f(x,y)=6x^7+7y^2+8xy+9#?

How do you differentiate #f(x)= e^x/(xe^(x) x )# using the quotient rule?

How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #f(x) = 3x^4 + 16x^3 + 24x^2 + 32#?

What is the derivative of #f(t) = ((lnt)^2t, sec(1t) ) #?

What is #int1/(x^25)#?

How do you integrate #int xroot3(4+x^2)# from [0,2]?

How do you integrate #[6/(x3)^4*(x^24x+4)]# using partial fractions?

Question #5698e

How do you differentiate #y=r/sqrt(r^2+1)#?

How do you find the antiderivative of #int sqrt(9+4x^2) dx#?

How do you find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line: y= x, #y = sqrt(x)#; about x = 2?

I really don't understand this calculus 2 problem?

What is the equation of the line tangent to # f(x)=(e^xsinx)/(xxcosx) # at # x=pi/3#?

How do you find the area of the common interior of #r=4sintheta, r=2#?

How do you integrate #(6x^2x1)/(3x1)# using partial fractions?

How do you find the critical points for #f(x) = 2x^(2/3)  5x^(4/3)# and the local max and min?

How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y= sqrt x#, #y=0# and #y=(x3)/2# rotated about the xaxis?