What is the integral from 0 to 2 of piy^4 ?

The integral from 0 to 2 of piy^4 is (32pi)/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 piy^4

\int_{0}^{2} π y^{4} d y

\frac{32 π}{5}

Decimal

20.10619 \dots

Solution steps

\int_{0}^{2} π y^{4} d y

Take the constant out:

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

= π \cdot \int_{0}^{2} y^{4} d y

Apply the Power Rule

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

= π [\frac{y ^{5}}{5}]_{0}^{2}

Compute the boundaries:

\frac{32}{5}

= π \frac{32}{5}

Simplify

= \frac{32 π}{5}

\int_{1}^{2} 3^{2 x} d x

\int_{0}^{1} 9 x^{8} (9 - x^{9}) d x

\int_{- 6}^{- 10} \frac{1}{( x + 2 )} d x

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

\int_{0}^{1} θ x^{θ} d x

What is the integral from 0 to 2 of piy^4 ?
The integral from 0 to 2 of piy^4 is (32pi)/5