Math
posted by Dave .
Evaluate the integral of x*(2x+5)^8*dx
I let u=2x+5 and du=2*dx, but then where do I go from there because I can't get rid of the x in order to integrate?

Math 
Steve
Let u = 2x+5
du = 2 dx
x = (u5)/2
∫x(2x+5)^8 dx
= ∫(u5)/2 * u^8 * du/2
= 1/4 ∫(u5)u^8 du
= 1/4 ∫u^9  5u^8 du
Respond to this Question
Similar Questions

Calculus II/III
A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the xaxis from 4 to 9. For part … 
Integral calculus
Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^24x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx 
Math/Calculus
How would I evaluate the following integral by using integration by parts? 
Math/Calculus
How would I integrate the following by parts: Integral of: (x^2)(sin (ax))dx, where a is any constant. Just like you did x^2 exp(x) below. Also partial integration is not the easiest way to do this integral. You can also use this method. … 
math
evaluate the double integral and reverse order of integration [(first integral 0 to 1)(second integral 9y to 9)e^(x^2)dx)dy 
double integral
1. Sketch the region of integration & reverse the order of integration. Double integral y dydz... 1st (top=1, bottom =0)... 2nd(inner) integral (top=cos(piex), bottom=(x2)... 2. Evaluate the integral by reversing the order of integration. … 
Calculus
Evaluate the integral. Problem#1 Integral sign 4dx/[(x+3)(x^2 +3x) Does it matter where A, B, and C is placed over. Is there a particular order? 
Math
Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: integral[4,1] … 
Math
Evaluate the integral of x * sqrt(x1) from [1,2]. I let u=x1 and du=1*dx, but then I can't get rid of the x to start integrating? 
Math
Evaluate the integral of x*ln(1+x) dx by first making a substitution and then using integration by parts. I let u=1+x and du = dx but then ln(u) du can't integrate to anything?