What is the integral from 0 to 4 of pisqrt(x) ?

The integral from 0 to 4 of pisqrt(x) is (16pi)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 4 of pisqrt(x)

\int_{0}^{4} π x d x

\frac{16 π}{3}

Decimal

16.75516 \dots

Solution steps

\int_{0}^{4} π x d x

Take the constant out:

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

= π \cdot \int_{0}^{4} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{4}

= π [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{4}

Compute the boundaries:

\frac{16}{3}

= π \frac{16}{3}

Simplify

= \frac{16 π}{3}

\int_{5 x}^{x^{4}} e^{- t^{2}} d t

\int_{0}^{1} 3 t e^{8 t^{2}} d t

\int_{- \infty}^{- 3} \frac{2}{x + 2} d x

\int_{1}^{2} \frac{4 + x}{x} d x

\int_{- 4}^{0} \frac{3}{2} x + 6 d x

What is the integral from 0 to 4 of pisqrt(x) ?
The integral from 0 to 4 of pisqrt(x) is (16pi)/3