What is the integral from 1 to 3 of (1/x-sqrt(y)) ?

The integral from 1 to 3 of (1/x-sqrt(y)) is ln(3)-2sqrt(y)

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integral from 1 to 3 of (1/x-sqrt(y))

\int_{1}^{3} (\frac{1}{x} - y) d x

ln (3) - 2 y

Solution steps

\int_{1}^{3} \frac{1}{x} - y d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{3} \frac{1}{x} d x - \int_{1}^{3} y d x

\int_{1}^{3} \frac{1}{x} d x = ln (3)

\int_{1}^{3} y d x = 2 y

= ln (3) - 2 y

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What is the integral from 1 to 3 of (1/x-sqrt(y)) ?
The integral from 1 to 3 of (1/x-sqrt(y)) is ln(3)-2sqrt(y)