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 sin(x) of 6sqrt(t)

Lösung

\int_{0}^{s i n (x)} 6 t d t

Lösung

4 sin^{\frac{3}{2}} (x)

Schritte zur Lösung

\int_{0}^{s i n (x)} 6 t d t

Entferne die Konstante:

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

= 6 \cdot \int_{0}^{s i n (x)} t d t

Wende die Potenzregel an

= 6 [\frac{2}{3} t^{\frac{3}{2}}]_{0}^{s i n (x)}

Berechne die Grenzen:

\frac{2}{3} sin^{\frac{3}{2}} (x)

= 6 \cdot \frac{2}{3} sin^{\frac{3}{2}} (x)

Vereinfache

= 4 sin^{\frac{3}{2}} (x)

Beliebte Beispiele

y^{''}+2y^'-48y=0

y^{^{''}} + 2 y^{^{'}} - 48 y = 0

integral of u/u

\int \frac{u}{u} d u

tangent f(x)= 1/x+4,(-2,8)

t an g e n t f (x) = \frac{1}{x} + 4, (- 2, 8)

(\partial)/(\partial x)(3t^2e^{4x})

\frac{\partial}{\partial x} (3 t^{2} e^{4 x})

limit as x approaches 1 of (3x-1)^2

x \to 1 lim ((3 x - 1)^{2})