What is the integral of $\int (\frac{cos (x)}{sin (x)} - 1) d x$ $int (cos(x)/sin(x)-1)dx$ ?

Question

1412 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-17T07:51:16

$ln sin x - x + C$ $ln sin x - x + C$

Use $int u^'/(u) dx=ln u + C$ .
$int(cos x/(sin x)-x)dx=int((sin x)^'/(sin x)dx-x+C=ln sin x - x + C$

What is the integral of int (cos(x)/sin(x)-1)dx∫(cos(x)sin(x)−1)dxint (cos(x)/sin(x)-1)dx?