# Explain to me the integration techniques?

okkvlt
Can somebody explain to me the integration techniques?

Also, say you have something like
x^8*5*2
so do i really need to simplify the integral 8 times just to get rid of the x^8 term? Is there a shortcut?

Also, i need some related rates practice problems. With answers so i can check myself.

Homework Helper
Can somebody explain to me the integration techniques?
Is not uncommon for an entire semester course to be devoted to that!

Also, say you have something like
x^8*5*2
so do i really need to simplify the integral 8 times just to get rid of the x^8 term? Is there a shortcut?
What do you mean by "x^8*5*2"? If you mean (x^8)*5*2 that is just 10x^8 which has anti-derivative (10/9)x^9+ C. If you mean x^(8*5*2) that is just x^(160) which has anti-derivative (1/161)x^(161)+ C. I don't know what you mean by "simplify the integral 8 times".

Also, i need some related rates practice problems. With answers so i can check myself.
Get a good calculus book.

okkvlt
I got careless. By x^8*5*2 i actually meant x^8 times 5^x