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Beliebt Rechnen >

integral from 0 to pi/4 of 2sec^2(x)

Lösung

\int_{0}^{\frac{π}{4}} 2 sec^{2} (x) d x

Lösung

2

Schritte zur Lösung

\int_{0}^{\frac{π}{4}} 2 sec^{2} (x) d x

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{\frac{π}{4}} sec^{2} (x) d x

Nutze das gemeinsame Integral :

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

= 2 [tan (x)]_{0}^{\frac{π}{4}}

Berechne die Grenzen:

1

= 2 \cdot 1

Vereinfache

= 2

Graph

Beliebte Beispiele

integral of (x+3)/(2x^3-8x)

\int \frac{x + 3}{2 x ^{3} - 8 x} d x

tangent y=2xtan(x),\at x=pi

t an g e n t y = 2 x tan (x), at x = π

limit as x approaches 0 of (2x-1)/x

x \to 0 lim (\frac{2 x - 1}{x})

integral of (sin(2x))/(2cos^2(x))

\int \frac{sin ( 2 x )}{2 cos ^{2} ( x )} d x

fläche 1+x-x^2-x^3,1-x,[-2,1]

a re a 1 + x - x^{2} - x^{3}, 1 - x, [- 2, 1]