Question

Integral help

Answer 1

@RadEn

Answer 2

The hint is substitution.
What have you try to substitute?

Answer 3

u=sqrt(1-x^2)

Answer 4

Try u=1-x^2

Answer 5

You could actually use that substitution though, the one suggested by @rea201
But yeah normally I would have gone with @science0229 's sub.

Answer 6

Ok so what do I do from there

Answer 7

Find the derivative of your sub.

Answer 8

So are you going with your sub or science's?

Answer 9

sciences

Answer 10

so you have u=1-x^2
find du/dx

Answer 11

ok so that is -2x

Answer 12

so du/dx=-2x
which implies du=-2x dx
or -du/2=dx

Answer 13

your integral was:
\[\int\limits_{0}^{1}\sqrt{1-x^2} x dx \]
replace the x dx with -du/2
and replace the 1-x^2 with u
you also need to do change your limits in terms of x to in terms of u

Answer 14

you have from x=0 to x=1
change it from u=1-0^2 to u=1-1^2

Answer 15

ok

Answer 16

thanks

Answer 17

So the upper limit is still 1 and the lower limit 0 or viseversa