6.6 Contents

1. $\int x^n·\sin(a·x)\thinspace dx$ 🔧

2. $\int x^n·\cos(a·x)\thinspace dx$ 🔧

6.6.1 $\int x^n·\sin(a·x)\thinspace dx$ 🔧

$$\int x^n·\sin(a·x)\thinspace dx=-\frac{x^n·\cos(a·x)}{a}+\frac{n}{a}·\int x^{n-1}·\cos(a·x)\thinspace dx$$

Proof

6.6.2 $\int x^n·\cos(a·x)\thinspace dx$ 🔧

$$\int x^n·\cos(a·x)\thinspace dx=\frac{x^n·\sin(a·x)}{a}-\frac{n}{a}·\int x^{n-1}·\sin(a·x)\thinspace dx$$

Proof