integral from 0 to pi/(20) of cos(10x)

Lösung

\int_{0}^{\frac{π}{20}} cos (10 x) d x

\frac{1}{10}

Dezimale

0.1

Schritte zur Lösung

\int_{0}^{\frac{π}{20}} cos (10 x) d x

Wende U-Substitution an

= \int_{0}^{\frac{π}{2}} cos (u) \frac{1}{10} d u

Entferne die Konstante:

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

= \frac{1}{10} \cdot \int_{0}^{\frac{π}{2}} cos (u) d u

Nutze das gemeinsame Integral :

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

= \frac{1}{10} [sin (u)]_{0}^{\frac{π}{2}}

Berechne die Grenzen:

1

= \frac{1}{10} \cdot 1

Vereinfache

= \frac{1}{10}

n = 1 \sum \infty \frac{2 ^{n}}{n}

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

\frac{d}{d x} (\frac{1}{2} (tan (x) - x))

n = 0 \sum \infty n^{3} x^{n}

\frac{d}{d x} (9 x arcsin (x))