Integration by parts

Definition

• $\int u.\frac{dv}{dx}dx=uv-\int v.\frac{du}{dx}$
  • formed by integrating product rule

Prove integral formula by reduction:

• Split the power of n, like ${\sin }^{n}x={\sin }^{n-1}x.\sin$ or ${\sec }^{n}x={\sec }^{n-2}x.{\sec }^{2}x$