What is the integral from 0 to 25 of (15)/(sqrt(x)) ?

The integral from 0 to 25 of (15)/(sqrt(x)) is 150

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integral from 0 to 25 of (15)/(sqrt(x))

\int_{0}^{25} \frac{15}{x} d x

150

Solution steps

\int_{0}^{25} \frac{15}{x} d x

Take the constant out:

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

= 15 \cdot \int_{0}^{25} \frac{1}{x} d x

Apply the Power Rule

= 15 [2 x^{\frac{1}{2}}]_{0}^{25}

Apply radical rule:

= 15 [2 x]_{0}^{25}

Compute the boundaries:

10

= 15 \cdot 10

Simplify

= 150

What is the integral from 0 to 25 of (15)/(sqrt(x)) ?
The integral from 0 to 25 of (15)/(sqrt(x)) is 150