integral from 0 to pi of cos(x)sin^3(x)

Lösung

\int_{0}^{π} cos (x) sin^{3} (x) d x

0

Schritte zur Lösung

\int_{0}^{π} cos (x) sin^{3} (x) d x

Berechne das unbestimmte Integral:

\int cos (x) sin^{3} (x) d x = \frac{sin ^{4} ( x )}{4} + C

Berechne die Grenzen:

\int_{0}^{π} cos (x) sin^{3} (x) d x = 0 - 0

= 0 - 0

Vereinfache

= 0

\int_{\frac{1}{4}}^{1} \frac{32}{x ^{3}} d x

\int_{- 2}^{2} 1 - ∣ x ∣ d x

\int_{0}^{\frac{π}{3}} sec^{2} (θ) d θ

\int_{- 1}^{2} x^{2} + x - 2 d x

\int_{- 1}^{2} y^{2} d y