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

The integral from 2 to 7 of 7/(sqrt(x)) is 7(2sqrt(7)-2sqrt(2))

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integral from 2 to 7 of 7/(sqrt(x))

\int_{2}^{7} \frac{7}{x} d x

7 (27 - 22)

Decimal Notation

17.24152 \dots

Solution steps

\int_{2}^{7} \frac{7}{x} d x

Take the constant out:

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

= 7 \cdot \int_{2}^{7} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{2}^{7}

= 7 [2 x^{\frac{1}{2}}]_{2}^{7}

Apply radical rule:

= 7 [2 x]_{2}^{7}

Compute the boundaries:

27 - 22

= 7 (27 - 22)

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What is the integral from 2 to 7 of 7/(sqrt(x)) ?
The integral from 2 to 7 of 7/(sqrt(x)) is 7(2sqrt(7)-2sqrt(2))