What is the integral of 3/(5sqrt(x^4)) ?

The integral of 3/(5sqrt(x^4)) is -3/(5x)+C

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integral of 3/(5sqrt(x^4))

\int \frac{3}{5 x ^{4}} d x

- \frac{3}{5 x} + C

Solution steps

\int \frac{3}{5 x ^{4}} d x

Take the constant out:

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

= \frac{3}{5} \cdot \int \frac{1}{x ^{4}} d x

x^{4} = x^{2},

assuming

x \geq 0

= \frac{3}{5} \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= \frac{3}{5} (- \frac{1}{x})

Simplify

\frac{3}{5} (- \frac{1}{x}) : - \frac{3}{5 x}

= - \frac{3}{5 x}

Add a constant to the solution

= - \frac{3}{5 x} + C

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What is the integral of 3/(5sqrt(x^4)) ?
The integral of 3/(5sqrt(x^4)) is -3/(5x)+C