What is the integral from 9 to 10 of 1.5x^{-2.5} ?

The integral from 9 to 10 of 1.5x^{-2.5} is 0.00541…

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integral from 9 to 10 of 1.5x^{-2.5}

\int_{9}^{10} 1.5 x^{- 2.5} d x

0.00541 \dots

Solution steps

\int_{9}^{10} 1.5 x^{- 2.5} d x

Take the constant out:

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

= 1.5 \cdot \int_{9}^{10} x^{- 2.5} d x

Apply the Power Rule

: [- \frac{0.66666 \dots}{x ^{1.5}}]_{9}^{10}

= 1.5 [- \frac{0.66666 \dots}{x ^{1.5}}]_{9}^{10}

Compute the boundaries:

0.00360 \dots

= 1.5 \cdot 0.00360 \dots

Simplify

= 0.00541 \dots

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What is the integral from 9 to 10 of 1.5x^{-2.5} ?
The integral from 9 to 10 of 1.5x^{-2.5} is 0.00541…