integral from-pi/2 to pi of 6cos(x)

Lösung

\int_{- \frac{π}{2}}^{π} 6 cos (x) d x

6

Schritte zur Lösung

\int_{- \frac{π}{2}}^{π} 6 cos (x) d x

Entferne die Konstante:

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

= 6 \cdot \int_{- \frac{π}{2}}^{π} cos (x) d x

Nutze das gemeinsame Integral :

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

= 6 [sin (x)]_{- \frac{π}{2}}^{π}

Berechne die Grenzen:

1

= 6 \cdot 1

Vereinfache

= 6

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

\int_{0}^{x} 6 x y d y

\int_{0}^{2} 8 - 2 x^{2} d x

\int_{1}^{\infty} \frac{5}{1 + x ^{2}} d x

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