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Popular Calculus >

integral of 5/(3x^4)

Solution

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

Solution

- \frac{5}{9 x ^{3}} + C

Solution steps

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

Apply the Power Rule

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

Simplify

\frac{5}{3} (- \frac{1}{3 x ^{3}}) : - \frac{5}{9 x ^{3}}

= - \frac{5}{9 x ^{3}}

Add a constant to the solution

= - \frac{5}{9 x ^{3}} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of 5/(3x^4) ?
The integral of 5/(3x^4) is -5/(9x^3)+C