What is the integral from 1 to 11 of 9x^{-2} ?

The integral from 1 to 11 of 9x^{-2} is 90/11

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integral from 1 to 11 of 9x^{-2}

\int_{1}^{11} 9 x^{- 2} d x

\frac{90}{11}

Decimal Notation

8.18181 \dots

Solution steps

\int_{1}^{11} 9 x^{- 2} d x

Take the constant out:

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

= 9 \cdot \int_{1}^{11} x^{- 2} d x

Apply the Power Rule

: [- \frac{1}{x}]_{1}^{11}

= 9 [- \frac{1}{x}]_{1}^{11}

Compute the boundaries:

\frac{10}{11}

= 9 \cdot \frac{10}{11}

Simplify

= \frac{90}{11}

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What is the integral from 1 to 11 of 9x^{-2} ?
The integral from 1 to 11 of 9x^{-2} is 90/11