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

Lösung

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

0

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

\int cos^{2} (θ) sin (θ) d θ = - \frac{cos ^{3} ( θ )}{3} + C

Berechne die Grenzen:

\int_{0}^{2 π} cos^{2} (θ) sin (θ) d θ = - \frac{1}{3} - (- \frac{1}{3})

= - \frac{1}{3} - (- \frac{1}{3})

Vereinfache

= 0

\int_{- π}^{π} e^{x} cos (x) d x

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