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Beliebt Rechnen >

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

Lösung

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

Lösung

23

+1

Dezimale

3.46410 \dots

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Nutze das gemeinsame Integral :

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

= 6 [tan (x)]_{0}^{\frac{π}{6}}

Berechne die Grenzen:

\frac{1}{3}

= 6 \cdot \frac{1}{3}

Vereinfache

= 23

Graph

Beliebte Beispiele

derivative of sin(7x+cos(6x))

\frac{d}{d x} (sin (7 x) + cos (6 x))

(dx)/(dt)= 3/(xe^{t+3x)}

\frac{d x}{d t} = \frac{3}{x e ^{t + 3 x}}

integral of-x^2-x+2

\int - x^{2} - x + 2 d x

derivative of sqrt(cos(3x-1))

\frac{d}{d x} (cos (3 x - 1))

y^{''}+4y=0,y(0)=5,y^'(0)=1

y^{^{''}} + 4 y = 0, y (0) = 5, y^{^{'}} (0) = 1