What is the integral from 4 to 15 of 6x^{-2} ?

The integral from 4 to 15 of 6x^{-2} is 11/10

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integral from 4 to 15 of 6x^{-2}

\int_{4}^{15} 6 x^{- 2} d x

\frac{11}{10}

Decimal

1.1

Solution steps

\int_{4}^{15} 6 x^{- 2} d x

Take the constant out:

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

= 6 \cdot \int_{4}^{15} x^{- 2} d x

Apply the Power Rule

= 6 [- \frac{1}{x}]_{4}^{15}

Compute the boundaries:

\frac{11}{60}

= 6 \cdot \frac{11}{60}

Simplify

= \frac{11}{10}

What is the integral from 4 to 15 of 6x^{-2} ?
The integral from 4 to 15 of 6x^{-2} is 11/10