What is the integral from 0 to 5 of kx^{-0.2} ?

The integral from 0 to 5 of kx^{-0.2} is k*4.52987…

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integral from 0 to 5 of kx^{-0.2}

\int_{0}^{5} k x^{- 0.2} d x

k \cdot 4.52987 \dots

Solution steps

\int_{0}^{5} k x^{- 0.2} d x

Take the constant out:

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

= k \cdot \int_{0}^{5} x^{- 0.2} d x

Apply the Power Rule

: [1.25 x^{0.8}]_{0}^{5}

= k [1.25 x^{0.8}]_{0}^{5}

Compute the boundaries:

4.52987 \dots

= k \cdot 4.52987 \dots

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What is the integral from 0 to 5 of kx^{-0.2} ?
The integral from 0 to 5 of kx^{-0.2} is k*4.52987…