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Popular >

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{1}{3 x ^{3}}

= \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

Popular Examples

integral of \sqrt[3]{1+2x}

integral of (16x^2)/((x-18)(x+6)^2)

\int \frac{16 x ^{2}}{( x - 18 ) ( x + 6 ) ^{2}} d x

integral of (2x+1)/(x+x^2)

\int \frac{2 x + 1}{x + x ^{2}} d x

integral of sin((pix)/4)

\int sin (\frac{π x}{4}) d x

integral of 2/(3x-5)

\int \frac{2}{3 x - 5} d x

Frequently Asked Questions (FAQ)

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