What is the integral from 7 to 9 of 2pix(7/x) ?

The integral from 7 to 9 of 2pix(7/x) is 28pi

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integral from 7 to 9 of 2pix(7/x)

\int_{7}^{9} 2 π x (\frac{7}{x}) d x

28 π

Decimal

87.96459 \dots

Solution steps

\int_{7}^{9} 2 π x \frac{7}{x} d x

2 π x \frac{7}{x} = 14 π

= \int_{7}^{9} 14 π d x

Integral of a constant:

\int a d x = a x

= [14 π x]_{7}^{9}

Compute the boundaries:

28 π

= 28 π

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\int_{2}^{6} \frac{2 x - 3}{2} d x

What is the integral from 7 to 9 of 2pix(7/x) ?
The integral from 7 to 9 of 2pix(7/x) is 28pi