Question

Evaluate
$\int {\sin }^{}(2x+1)dx$

Answer 1

$\int \sin (2x+1)dx$

Let $2x+1=t⟹2dx=dt$

$\int \sin t\frac{dt}{2}\frac{1}{2}\int \sin tdt\frac{-\cos t}{2}+c\frac{-1}{2}\cos (2x+1)+c$$