integral from pi/2 to 0 of cos(x)

Lösung

\int_{\frac{π}{2}}^{0} cos (x) d x

- 1

Schritte zur Lösung

\int_{\frac{π}{2}}^{0} cos (x) d x

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

= - \int_{0}^{\frac{π}{2}} cos (x) d x

Nutze das gemeinsame Integral :

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

= - [sin (x)]_{0}^{\frac{π}{2}}

Berechne die Grenzen:

1

= - 1

\int_{1}^{2} \frac{1}{x ( 1 + x ^{4} )} d x

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