integral from 0 to pi/3 of 3sec^2(x)

Lösung

\int_{0}^{\frac{π}{3}} 3 sec^{2} (x) d x

33

Dezimale

5.19615 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{3}} 3 sec^{2} (x) d x

Entferne die Konstante:

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

= 3 \cdot \int_{0}^{\frac{π}{3}} sec^{2} (x) d x

Nutze das gemeinsame Integral :

\int sec^{2} (x) d x = tan (x)

= 3 [tan (x)]_{0}^{\frac{π}{3}}

Berechne die Grenzen:

3

= 33

\int_{\frac{π}{4}}^{\frac{π}{3}} sec^{2} (x) d x

\int_{- 3}^{1} (2 x - 3) d x

\int_{0}^{1} \frac{x ^{2}}{3 + x ^{3}} d x

\int_{x^{2}}^{4} 3 t d t

\int_{0}^{1} x + x d x