What is the integral of 2/4 x^{-0.75} ?

The integral of 2/4 x^{-0.75} is 2x^{0.25}+C

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integral of 2/4 x^{-0.75}

\int \frac{2}{4} x^{- 0.75} d x

2 x^{0.25} + C

Solution steps

\int \frac{2}{4} x^{- 0.75} d x

Take the constant out:

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

= \frac{2}{4} \cdot \int x^{- 0.75} d x

Cancel the common factor:

2

= \frac{1}{2} \cdot \int x^{- 0.75} d x

Apply the Power Rule

: 4 x^{0.25}

= \frac{1}{2} \cdot 4 x^{0.25}

Simplify

\frac{1}{2} \cdot 4 x^{0.25} : 2 x^{0.25}

= 2 x^{0.25}

Add a constant to the solution

= 2 x^{0.25} + C

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What is the integral of 2/4 x^{-0.75} ?
The integral of 2/4 x^{-0.75} is 2x^{0.25}+C