What is the integral from 9 to 11 of 2piy(9/y) ?

The integral from 9 to 11 of 2piy(9/y) is 36pi

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integral from 9 to 11 of 2piy(9/y)

\int_{9}^{11} 2 π y (\frac{9}{y}) d y

36 π

Decimal Notation

113.09733 \dots

Solution steps

\int_{9}^{11} 2 π y \frac{9}{y} d y

2 π y \frac{9}{y} = 18 π

= \int_{9}^{11} 18 π d y

Integral of a constant:

\int a d x = a x

= [18 π y]_{9}^{11}

Compute the boundaries:

36 π

= 36 π

\int \frac{x}{x ^{4} + 36} d x

\int \frac{25}{x ^{3} - 27} d x

\frac{\partial}{\partial x} (x^{\frac{1}{2}} \cdot y^{\frac{1}{2}} \cdot z)

n = 1 \sum \infty \frac{( n ^{3} )}{3 ^{n^{2}}}

\frac{d y}{d x} = e^{- 2 y}

What is the integral from 9 to 11 of 2piy(9/y) ?
The integral from 9 to 11 of 2piy(9/y) is 36pi