What is the integral from-2 to 6sqrt(2 of)2pi(y)(2) ?

The integral from-2 to 6sqrt(2 of)2pi(y)(2) is 136pi

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integral from-2 to 6sqrt(2 of)2pi(y)(2)

\int_{- 2}^{62} 2 π (y) (2) d y

136 π

Decimal Notation

427.25660 \dots

Solution steps

\int_{- 2}^{62} 2 π y \cdot 2 d y

Take the constant out:

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

= 2 π 2 \cdot \int_{- 2}^{62} y d y

Simplify

= 4 π \cdot \int_{- 2}^{62} y d y

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{- 2}^{62}

= 4 π [\frac{y ^{2}}{2}]_{- 2}^{62}

Compute the boundaries:

34

= 4 π 34

Simplify

= 136 π

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(- 1, 1), (1, - 2)

What is the integral from-2 to 6sqrt(2 of)2pi(y)(2) ?
The integral from-2 to 6sqrt(2 of)2pi(y)(2) is 136pi