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Popular >

integral of-4/(x^4)

Solution

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

Solution

\frac{4}{3 x ^{3}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

= - 4 (- \frac{1}{3 x ^{3}})

Simplify

- 4 (- \frac{1}{3 x ^{3}}) : \frac{4}{3 x ^{3}}

= \frac{4}{3 x ^{3}}

Add a constant to the solution

= \frac{4}{3 x ^{3}} + C

Popular Examples

integral of 6/(θ^2)cos(6/θ)

\int \frac{6}{θ ^{2}} cos (\frac{6}{θ}) d θ

integral of (x^6)/(6x)

\int \frac{x ^{6}}{6 x} d x

integral of (-9-9tan^2(θ))

\int (- 9 - 9 tan^{2} (θ)) d θ

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\int \frac{8 x ^{2} - 1}{x ^{2} + 4 x + 3} d x

integral of 1/((2+x)^5)

\int \frac{1}{( 2 + x ) ^{5}} d x

Frequently Asked Questions (FAQ)

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