de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to pi/3 of 4sec(x)tan(x)

Lösung

\int_{0}^{\frac{π}{3}} 4 sec (x) tan (x) d x

Lösung

4

Schritte zur Lösung

\int_{0}^{\frac{π}{3}} 4 sec (x) tan (x) d x

Entferne die Konstante:

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

= 4 \cdot \int_{0}^{\frac{π}{3}} sec (x) tan (x) d x

Wende U-Substitution an

= 4 \cdot \int_{1}^{2} 1 d u

Integral einer Konstanten :

\int a d x = a x

= 4 [1 \cdot u]_{1}^{2}

Vereinfache

= 4 [u]_{1}^{2}

Berechne die Grenzen:

1

= 4 \cdot 1

Vereinfache

= 4

Graph

Beliebte Beispiele

integral from 1 to 2 of (10-9x)^2

\int_{1}^{2} (10 - 9 x)^{2} d x

integral from 2 to 6 of 3x^2

\int_{2}^{6} 3 x^{2} d x

integral from 1 to 2 of (e^x)/(e^x-1)

\int_{1}^{2} \frac{e ^{x}}{e ^{x} - 1} d x

integral from 0 to 2 of x^3+3

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

integral from 1 to 3 of x^3+1

\int_{1}^{3} x^{3} + 1 d x