Question

How can I resolve this equation by substitution?

\[\int\limits{(x^2)/1-x^3}dx\]

Answer 1

let u = (1-x^3)

Answer 2

let x^3 = y, then 3x^2 = dy

Answer 3

No let u = 1-x^3

Answer 4

du=-3x^2dx

Answer 5

Multiply your integral by:
(-1/3)*(-3)

Answer 6

1/3*int 1/(1-y)*dy

Answer 7

So you'll end up with:
(-1/3)Integral((1/u)du)

Answer 8

my method is easier experimentX

Answer 9

yeah ... faster too

Answer 10

both is nice, thank you...

Answer 11

(-1/3)Ln|u|+C=(-1/3)Ln|1-x^3|+C

Answer 12

Thanks