What is the integral from 0 to 2 of piy^3 ?

The integral from 0 to 2 of piy^3 is pi4

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integral from 0 to 2 of piy^3

\int_{0}^{2} π y^{3} d y

π 4

Decimal Notation

12.56637 \dots

Solution steps

\int_{0}^{2} π y^{3} 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^{3} d y

Apply the Power Rule

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

= π [\frac{y ^{4}}{4}]_{0}^{2}

Compute the boundaries:

4

= π 4

\int 8 x - x^{2} d x

x y^{^{'}} = 2 x e^{x} - y + 6 x^{2}

\int (4 x^{3} - 2)^{2} x^{2} d x

\int_{1}^{e} \frac{ln ( x )}{x} d x

(x^{2} e^{- 2 x})^{^{'}}

What is the integral from 0 to 2 of piy^3 ?
The integral from 0 to 2 of piy^3 is pi4