integration by substitution help!!

Question

myininaya · Answer

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

myininaya · Answer

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

myininaya · Answer

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

anonymous · Answer

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

myininaya · Answer

it takes practice practice

anonymous · Answer

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

myininaya · Answer

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

myininaya · Answer

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

anonymous · Answer

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

anonymous · Answer

im about to pull my hair out

myininaya · Answer

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

myininaya · Answer

well if i'm here lol

myininaya · Answer

good luck to you

anonymous · Answer

thank you!