integral from 0 to pi of asin(x)

Lösung

\int_{0}^{π} a sin (x) d x

a \cdot 2

Schritte zur Lösung

\int_{0}^{π} a sin (x) d x

Entferne die Konstante:

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

= a \cdot \int_{0}^{π} sin (x) d x

Nutze das gemeinsame Integral :

\int sin (x) d x = - cos (x)

= a [- cos (x)]_{0}^{π}

Berechne die Grenzen:

2

= a \cdot 2

\int_{4}^{2} - 2 d x

\int_{4}^{9} \frac{2 + t}{t} d t

\int_{2}^{7} 5 arccot (x) d x

\int_{0}^{3} 5^{x} ln (5) d x

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