Asked 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?
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?
Answers
Answered by
Steve
Let u = 2x+5
du = 2 dx
x = (u-5)/2
∫x(2x+5)^8 dx
= ∫(u-5)/2 * u^8 * du/2
= 1/4 ∫(u-5)u^8 du
= 1/4 ∫u^9 - 5u^8 du
du = 2 dx
x = (u-5)/2
∫x(2x+5)^8 dx
= ∫(u-5)/2 * u^8 * du/2
= 1/4 ∫(u-5)u^8 du
= 1/4 ∫u^9 - 5u^8 du
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.