What is the integral from 1 to 2 of 7/(sqrt(x)) ?

The integral from 1 to 2 of 7/(sqrt(x)) is 7(2sqrt(2)-2)

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integral from 1 to 2 of 7/(sqrt(x))

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

7 (22 - 2)

Decimal

5.79898 \dots

Solution steps

\int_{1}^{2} \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_{1}^{2} \frac{1}{x} d x

Apply the Power Rule

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

Apply radical rule:

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

Compute the boundaries:

22 - 2

= 7 (22 - 2)

What is the integral from 1 to 2 of 7/(sqrt(x)) ?
The integral from 1 to 2 of 7/(sqrt(x)) is 7(2sqrt(2)-2)