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

The integral from 0 to 3 of x^{3/2} is (18*3^{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 3 of x^{3/2}

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

\frac{18 \cdot 3 ^{\frac{1}{2}}}{5}

Decimal Notation

6.23538 \dots

Solution steps

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

Apply the Power Rule

: [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{3}

= [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{3}

Compute the boundaries:

\frac{18 \cdot 3 ^{\frac{1}{2}}}{5}

= \frac{18 \cdot 3 ^{\frac{1}{2}}}{5}

\int_{- 1}^{0} 9 x^{2} (2 x^{3} + 2)^{2} d x

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

\int_{0}^{4} 6 d x

\int_{2}^{s i n (x)} (t^{2} - 1) d t

\int_{0}^{1} 2 x arctan (x) d x

What is the integral from 0 to 3 of x^{3/2} ?
The integral from 0 to 3 of x^{3/2} is (18*3^{1/2})/5