What is the integral from 1 to 5 of 6/(sqrt(x)) ?

The integral from 1 to 5 of 6/(sqrt(x)) is 6(2sqrt(5)-2)

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integral from 1 to 5 of 6/(sqrt(x))

\int_{1}^{5} \frac{6}{x} d x

6 (25 - 2)

Decimal Notation

14.83281 \dots

Solution steps

\int_{1}^{5} \frac{6}{x} d x

Take the constant out:

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

= 6 \cdot \int_{1}^{5} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{1}^{5}

= 6 [2 x^{\frac{1}{2}}]_{1}^{5}

Apply radical rule:

= 6 [2 x]_{1}^{5}

Compute the boundaries:

25 - 2

= 6 (25 - 2)

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What is the integral from 1 to 5 of 6/(sqrt(x)) ?
The integral from 1 to 5 of 6/(sqrt(x)) is 6(2sqrt(5)-2)