What is the integral of 5/(3\sqrt[4]{x^5)} ?

The integral of 5/(3\sqrt[4]{x^5)} is -(20)/(3\sqrt[4]{x)}+C

Popular >

integral of 5/(3\sqrt[4]{x^5)}

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

- \frac{20}{3 4 x} + C

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

(a^{n})^{m} = a^{n \cdot m}

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

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

Apply the Power Rule

: - \frac{4}{4 x}

= \frac{5}{3} (- \frac{4}{4 x})

Simplify

\frac{5}{3} (- \frac{4}{4 x}) : - \frac{20}{3 4 x}

= - \frac{20}{3 4 x}

Add a constant to the solution

= - \frac{20}{3 4 x} + C

\int \frac{x + 1}{x ^{2} ( x + 2 ) ^{3}} d x

\int 27 x e^{3 x} d x

\int (e^{x} + 4^{x}) d x

\int sin (3 x) cos^{4} (3 x) d x

\int (7 x - 1) e^{2 x} d x

What is the integral of 5/(3\sqrt[4]{x^5)} ?
The integral of 5/(3\sqrt[4]{x^5)} is -(20)/(3\sqrt[4]{x)}+C