## anonymous 4 years ago integration by substitution help!!

1. myininaya

$\int\limits_{}^{}[f(x)]^n f'(x) dx$ let u=f(x) => du=f'(x) dx so we have $\int\limits_{}^{}u^n du=\frac{u^{n+1}}{n+1}+C=\frac{(f(x))^{n+1}}{n+1}+C$

2. myininaya

not all the forms will look like this this just an example

3. myininaya

and of course this example is for n not equal to -1

4. anonymous

its driving me crazy! i just started cal II and im completely lost!

5. myininaya

it takes practice practice

6. anonymous

what difference does it make if there are numbers in front of the integral?

7. myininaya

$\int\limits_{}^{}c f(x)dx=c \int\limits_{}^{}f(x) dx$

8. myininaya

what ever you get when you integrate f just make sure it is all being multiply by c

9. anonymous

alright well thanks for trying to help maybe there are some videos on you tube that may help

10. anonymous

im about to pull my hair out

11. myininaya

ok well if you run into something you are trying to integrate you can post here and i will be happy to help

12. myininaya

well if i'm here lol

13. myininaya

good luck to you

14. anonymous

thank you!