What is the integral from 0 to 9 of piy ?

The integral from 0 to 9 of piy is (81pi)/2

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integral from 0 to 9 of piy

\int_{0}^{9} π y d y

\frac{81 π}{2}

Solution steps

\int_{0}^{9} π y d y

Take the constant out:

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

= π \cdot \int_{0}^{9} y d y

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{0}^{9}

= π [\frac{y ^{2}}{2}]_{0}^{9}

Compute the boundaries:

\frac{81}{2}

= π \frac{81}{2}

Simplify

= \frac{81 π}{2}

\int 2 x (1 + 2 x)^{4} d x

1 - e^{- 2 t}

y^{^{'}} + \frac{y}{x} = 1

\frac{d y}{d x} = 2 x y + 5 x

\frac{d}{d x} (7^{x} ln (x))

What is the integral from 0 to 9 of piy ?
The integral from 0 to 9 of piy is (81pi)/2