What is the integral from 0 to sin(x) of sqrt(t) ?

The integral from 0 to sin(x) of sqrt(t) is 2/3 sin^{3/2}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to sin(x) of sqrt(t)

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

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

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

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

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

\int_{- \frac{π}{4}}^{\frac{π}{4}} (- cos (x)) d x

\int_{1}^{5} \frac{1}{x ^{3}} d x

\int_{1}^{3} (x^{2} + 3) d x

\int_{1}^{5} x^{2} - 2 x - 8 d x

\int_{0}^{4} cos (x) d x

What is the integral from 0 to sin(x) of sqrt(t) ?
The integral from 0 to sin(x) of sqrt(t) is 2/3 sin^{3/2}(x)