What is the integral from 1 to 10 of 5x^{-2} ?

The integral from 1 to 10 of 5x^{-2} is 9/2

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integral from 1 to 10 of 5x^{-2}

\int_{1}^{10} 5 x^{- 2} d x

\frac{9}{2}

Decimal

4.5

Solution steps

\int_{1}^{10} 5 x^{- 2} d x

Take the constant out:

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

= 5 \cdot \int_{1}^{10} x^{- 2} d x

Apply the Power Rule

= 5 [- \frac{1}{x}]_{1}^{10}

Compute the boundaries:

\frac{9}{10}

= 5 \cdot \frac{9}{10}

Simplify

= \frac{9}{2}

What is the integral from 1 to 10 of 5x^{-2} ?
The integral from 1 to 10 of 5x^{-2} is 9/2