SOMP
Calculus

Integration by Parts - Solutions (Integration by Parts)

Evaluate the following indefinite integrals:

1. $\int x\csc(2x) \;dx=-\frac{x\cot(2x)}{2}+\frac{1}{4}\ln|\sin(2x)|+c$
2. $\int \arctan x \;dx=x\arctan x - \frac{1}{2}\ln(x^2+1)+c$