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

Lösung

\int_{0}^{π} sin^{2} (t) cos (t) d t

0

Schritte zur Lösung

\int_{0}^{π} sin^{2} (t) cos (t) d t

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

= 0 - 0

Vereinfache

= 0

\int_{- \infty}^{0} e^{x - e^{x}} d x

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

\int_{0}^{\infty} e^{- \frac{y}{x}} d y

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

\int_{10}^{20} 1 d x