What is the integral from 1 to 4 of sqrt((10)/x) ?

The integral from 1 to 4 of sqrt((10)/x) is 2sqrt(10)

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integral from 1 to 4 of sqrt((10)/x)

\int_{1}^{4} \frac{10}{x} d x

210

Decimal

6.32455 \dots

Solution steps

\int_{1}^{4} \frac{10}{x} d x

Apply Integration By Parts

: [\frac{10}{x} x - \int - \frac{5}{2 x ^{\frac{1}{2}}} d x]_{1}^{4}

= [\frac{10}{x} x - \int - \frac{5}{2 x ^{\frac{1}{2}}} d x]_{1}^{4}

\int - \frac{5}{2 x ^{\frac{1}{2}}} d x = - 10 x

= [\frac{10}{x} x - (- 10 x)]_{1}^{4}

Simplify

= [\frac{10}{x} x + 10 x]_{1}^{4}

Compute the boundaries:

210

= 210

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What is the integral from 1 to 4 of sqrt((10)/x) ?
The integral from 1 to 4 of sqrt((10)/x) is 2sqrt(10)