## mlddmlnog 2 years ago please help with this integration:

1. mlddmlnog

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

2. mlddmlnog

@zepdrix

3. zepdrix

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

4. mlddmlnog

yess :p

5. zepdrix

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

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

7. mlddmlnog

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

8. zepdrix

k c:

9. mlddmlnog

yup i got it :) thank you as always!

10. zepdrix

yay!