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Popular >

integral of 2/(3x^4)

Solution

\int \frac{2}{3 x ^{4}} d x

Solution

- \frac{2}{9 x ^{3}} + C

Solution steps

\int \frac{2}{3 x ^{4}} d x

Take the constant out:

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

= \frac{2}{3} \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

= \frac{2}{3} (- \frac{1}{3 x ^{3}})

Simplify

\frac{2}{3} (- \frac{1}{3 x ^{3}}) : - \frac{2}{9 x ^{3}}

= - \frac{2}{9 x ^{3}}

Add a constant to the solution

= - \frac{2}{9 x ^{3}} + C

Popular Examples

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\int tan (5 x + 1) d x

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

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

integral of (x^3)/(81-x^4)

\int \frac{x ^{3}}{81 - x ^{4}} d x

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\int 7 e^{x} - e^{3} d x

integral of (x^2)/(60)(x^3-5)^4+19

\int \frac{x ^{2}}{60} (x^{3} - 5)^{4} + 19 d x

Frequently Asked Questions (FAQ)

What is the integral of 2/(3x^4) ?
The integral of 2/(3x^4) is -2/(9x^3)+C