# Math Help - Integration by substitution problem

1. ## Integration by substitution problem

Trying to integrate

$\int_{0}^{\frac{\pi}{2}}(\frac{\sin&space;2\Theta&space;}{1+\cos\Theta})d\Theta$

I'm told to use $u=1+\cos&space;\Theta$

but when I try to change the pi/2 and 0 into terms of u I get

pi/2 ===> 1

and

0===> 2

Do I put it as

$\int_{1}^{2}&space;or&space;\int_{2}^{1})$

Thanks

Trying to integrate

$\int_{0}^{\frac{\pi}{2}}(\frac{\sin&space;2\Theta&space;}{1+\cos\Theta})d\Theta$

I'm told to use $u=1+\cos&space;\Theta$

but when I try to change the pi/2 and 0 into terms of u I get

pi/2 ===> 1 ... new upper limit

and

0===> 2 ... new lower limit

Do I put it as

$\int_{1}^{2}&space;or&space;\int_{2}^{1})$ second one
...

3. thanks - I was always told to make sure largest one goes to the top.