What is the integral of (50)/(x^{0.25)} ?

The integral of (50)/(x^{0.25)} is 66.66666…x^{0.75}+C

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integral of (50)/(x^{0.25)}

\int \frac{50}{x ^{0.25}} d x

66.66666 \dots x^{0.75} + C

Solution steps

\int \frac{50}{x ^{0.25}} d x

Take the constant out:

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

= 50 \cdot \int \frac{1}{x ^{0.25}} d x

Apply the Power Rule

: 1.33333 \dots x^{0.75}

= 50 \cdot 1.33333 \dots x^{0.75}

Simplify

= 66.66666 \dots x^{0.75}

Add a constant to the solution

= 66.66666 \dots x^{0.75} + C

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What is the integral of (50)/(x^{0.25)} ?
The integral of (50)/(x^{0.25)} is 66.66666…x^{0.75}+C