Integral xsin(x)
| Indefinite integral |
|---|
| integral x sin(x) dx = sin(x) – x cos(x) + constant |
| Alternate form of the integral |
| -1/2 e^(-i x) x – 1/2 e^(i x) x + 1/2 i e^(-i x) – 1/2 i e^(i x) + constant |
| Series expansion of the integral at x=0 |
| x^3/3 – x^5/30 + x^7/840 + O(x^8) (Taylor series) |
| Definite integral |
| integral_0^pi x sin(x) dx = pi~~3.14159 |