integral from 0 to 2pi of cos(x)sin^4(x)

Lösung

\int_{0}^{2 π} cos (x) sin^{4} (x) d x

0

Schritte zur Lösung

\int_{0}^{2 π} cos (x) sin^{4} (x) d x

Berechne das unbestimmte Integral:

\int cos (x) sin^{4} (x) d x = \frac{sin ^{5} ( x )}{5} + C

Berechne die Grenzen:

\int_{0}^{2 π} cos (x) sin^{4} (x) d x = 0 - 0

= 0 - 0

Vereinfache

= 0

\int_{0}^{2} \frac{x}{( 1 + x ^{2} ) ^{3}} d x

\int_{1}^{e} \frac{3 ( ln ( x ) ) ^{2} + x}{x} d x

\int_{4}^{8} 2 x - 10 d x

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

\int_{0}^{2 π} - 54 sin^{2} (x) d x