Question

integration by substitution help!!

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

it takes practice practice

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

im about to pull my hair out

Answer 11

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

Answer 12

well if i'm here lol

Answer 13

good luck to you

Answer 14

thank you!