What is the integral from 3 to 5 of x^{3/2} ?

The integral from 3 to 5 of x^{3/2} is 10*5^{1/2}-(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 3 to 5 of x^{3/2}

\int_{3}^{5} x^{\frac{3}{2}} d x

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

Decimal Notation

16.12529 \dots

Solution steps

\int_{3}^{5} x^{\frac{3}{2}} d x

Apply the Power Rule

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

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

Compute the boundaries:

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

= 10 \cdot 5^{\frac{1}{2}} - \frac{18 \cdot 3 ^{\frac{1}{2}}}{5}

\int_{0}^{2} 2 t e^{- t^{2}} d t

\int_{1}^{8} \frac{5}{t} d t

\int_{- 4}^{2} 2 x d x

\int_{x}^{y} \frac{1}{x} d x

\int_{1}^{16} (x^{- \frac{3}{4}}) d x

What is the integral from 3 to 5 of x^{3/2} ?
The integral from 3 to 5 of x^{3/2} is 10*5^{1/2}-(18*3^{1/2})/5