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Popular >

integral of 5x^{1/4}

Solution

\int 5 x^{\frac{1}{4}} d x

Solution

4 x^{\frac{5}{4}} + C

Solution steps

\int 5 x^{\frac{1}{4}} d x

Take the constant out:

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

= 5 \cdot \int x^{\frac{1}{4}} d x

Apply the Power Rule

: \frac{4}{5} x^{\frac{5}{4}}

= 5 \cdot \frac{4}{5} x^{\frac{5}{4}}

Simplify

5 \cdot \frac{4}{5} x^{\frac{5}{4}} : 4 x^{\frac{5}{4}}

= 4 x^{\frac{5}{4}}

Add a constant to the solution

= 4 x^{\frac{5}{4}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 5x^{1/4} ?
The integral of 5x^{1/4} is 4x^{5/4}+C