What is the integral from 0 to 2 of x^{3/2} ?

The integral from 0 to 2 of x^{3/2} is (8*2^{1/2})/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of x^{3/2}

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

\frac{8 \cdot 2 ^{\frac{1}{2}}}{5}

Decimal

2.26274 \dots

Solution steps

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

Apply the Power Rule

: [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{2}

= [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{2}

Compute the boundaries:

\frac{8 \cdot 2 ^{\frac{1}{2}}}{5}

= \frac{8 \cdot 2 ^{\frac{1}{2}}}{5}

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

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

\int_{0}^{2} 5 t cos (π \cdot t) d t

\int_{9}^{16} 8 x d x

\int_{- 3}^{3} 8 t 7 + 2 t^{2} d t

What is the integral from 0 to 2 of x^{3/2} ?
The integral from 0 to 2 of x^{3/2} is (8*2^{1/2})/5