What is the integral from 1 to 21 of 328.31x^{-0.41} ?

The integral from 1 to 21 of 328.31x^{-0.41} is 2797.37575…

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integral from 1 to 21 of 328.31x^{-0.41}

\int_{1}^{21} 328.31 x^{- 0.41} d x

2797.37575 \dots

Solution steps

\int_{1}^{21} 328.31 x^{- 0.41} d x

Take the constant out:

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

= 328.31 \cdot \int_{1}^{21} x^{- 0.41} d x

Apply the Power Rule

: [1.69491 \dots x^{0.59}]_{1}^{21}

= 328.31 [1.69491 \dots x^{0.59}]_{1}^{21}

Compute the boundaries:

8.52053 \dots

= 328.31 \cdot 8.52053 \dots

Simplify

= 2797.37575 \dots

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What is the integral from 1 to 21 of 328.31x^{-0.41} ?
The integral from 1 to 21 of 328.31x^{-0.41} is 2797.37575…