integral from-pi to 0 of cos(n)x

Lösung

\int_{- π}^{0} cos (n) x d x

- \frac{π ^{2}}{2} cos (n)

Schritte zur Lösung

\int_{- π}^{0} cos (n) x d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= cos (n) \cdot \int_{- π}^{0} x d x

Wende die Potenzregel an

= cos (n) [\frac{x ^{2}}{2}]_{- π}^{0}

Berechne die Grenzen:

- \frac{π ^{2}}{2}

= cos (n) (- \frac{π ^{2}}{2})

Vereinfache

= - \frac{π ^{2}}{2} cos (n)

\int_{0}^{5} x^{2} + 2 x - 3 d x

\int_{0}^{1} 0.5 e^{x^{2}} d x

\int_{0}^{1} cos (nπ t) d t

\int_{0}^{1} (2 e^{x}) d x

\int_{1}^{\infty} \frac{1}{x + 2} d x