## mlddmlnog Group Title please help with this integration: one year ago one year ago

1. mlddmlnog Group Title

$\int\limits_{0}^{2}\sin(\frac{ \pi }{ 2 }x)dx$

2. mlddmlnog Group Title

@zepdrix

3. zepdrix Group Title

What are you stuck on? c: Is the pi/2 confusing you?

4. mlddmlnog Group Title

yess :p

5. zepdrix Group Title

Think about the derivative for a sec, If you took the derivative of this term, you'd have to apply the chain rule. The derivative of the inside would give you an extra pi/2 on the outside. When we integrate, the opposite should happen :D We'll divide by that coefficient to compensate for the pi/2 that would normally show up due to the chain rule.

6. zepdrix Group Title

If you're not quite convinced, you can do a U sub I suppose :)

7. mlddmlnog Group Title

ahh Thanks for the explanation :) i'll try to do this on my own then see if the answers match up.

8. zepdrix Group Title

k c:

9. mlddmlnog Group Title

yup i got it :) thank you as always!

10. zepdrix Group Title

yay!