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Beliebt Rechnen >

integral from 0 to pi/(10) of cos(5x)

Lösung

\int_{0}^{\frac{π}{10}} cos (5 x) d x

Lösung

\frac{1}{5}

+1

Dezimale

0.2

Schritte zur Lösung

\int_{0}^{\frac{π}{10}} cos (5 x) d x

Wende U-Substitution an

= \int_{0}^{\frac{π}{2}} cos (u) \frac{1}{5} d u

Entferne die Konstante:

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

= \frac{1}{5} \cdot \int_{0}^{\frac{π}{2}} cos (u) d u

Nutze das gemeinsame Integral :

\int cos (u) d u = sin (u)

= \frac{1}{5} [sin (u)]_{0}^{\frac{π}{2}}

Berechne die Grenzen:

1

= \frac{1}{5} \cdot 1

Vereinfache

= \frac{1}{5}

Graph

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\int tan^{3} (7 x) sec (7 x) d x

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\int 2 x^{7} d x

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\frac{d ^{2}}{d x ^{2}} ((ln (x))^{2})