de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

\int_{0}^{π} cos^{4} (x) sin (x) d x

Lösung

\frac{2}{5}

+1

Dezimale

0.4

Schritte zur Lösung

\int_{0}^{π} cos^{4} (x) sin (x) d x

Wende U-Substitution an

= \int_{1}^{- 1} - u^{4} d u

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 1}^{1} - u^{4} d u

Entferne die Konstante:

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

= - (- \int_{- 1}^{1} u^{4} d u)

Wende die Potenzregel an

= - (- [\frac{u ^{5}}{5}]_{- 1}^{1})

Vereinfache

= [\frac{u ^{5}}{5}]_{- 1}^{1}

Berechne die Grenzen:

\frac{2}{5}

= \frac{2}{5}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x+2y-6)

\frac{\partial}{\partial y} (x + 2 y - 6)

integral from-8 to 8 of 64-x^2

\int_{- 8}^{8} 64 - x^{2} d x

integral of 9xe^{x^2}

\int 9 x e^{x^{2}} d x

derivative of x^4y

\frac{d}{d x} (x^{4} y)

derivative of 1/(x^2y)

\frac{d}{d x} (\frac{1}{x ^{2} y})