A couple of integrals...OMG here is the second

[cheeze]

The second is:
1/2
? csc ?t cot ?t dt
1/6

I am not even sure where to start. Do I let u = ?t? Please help.

 

[galactus]

Take note that:

\(\displaystyle \frac{d}{dt}[csc({\pi}t)] = -{\pi}\cdot \underbrace{cot({\pi}t)csc({\pi}t)}_{\text{this is your integrand}}\)