integral from 0 to pi/6 of (3sec^2(x))

Lösung

\int_{0}^{\frac{π}{6}} (3 sec^{2} (x)) d x

3

Dezimale

1.73205 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{6}} 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}{6}} sec^{2} (x) d x

Nutze das gemeinsame Integral :

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

= 3 [tan (x)]_{0}^{\frac{π}{6}}

Berechne die Grenzen:

\frac{1}{3}

= 3 \cdot \frac{1}{3}

Vereinfache

= 3

\int 3 cos (t) d t

x \to 3 π + lim (1 + csc (x))

(5^{x})^{^{'}}

\frac{\partial}{\partial x} (14 x^{3} cos (7 x^{2} y))

a re a f (x) = 4, g (x) = \frac{e ^{x}}{5}, x = 0