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Popular >

integral of (2/(x^2)+3/(x^4))

Solution

\int (\frac{2}{x ^{2}} + \frac{3}{x ^{4}}) d x

Solution

- \frac{2}{x} - \frac{1}{x ^{3}} + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int \frac{2}{x ^{2}} d x = - \frac{2}{x}

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

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

Add a constant to the solution

= - \frac{2}{x} - \frac{1}{x ^{3}} + C

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\int \frac{1}{x} cos (\frac{1}{x}) d x

integral of (tan^3(2x))(sec^3(2x))(1)

\int (tan^{3} (2 x)) (sec^{3} (2 x)) (1) d x

Frequently Asked Questions (FAQ)

What is the integral of (2/(x^2)+3/(x^4)) ?
The integral of (2/(x^2)+3/(x^4)) is -2/x-1/(x^3)+C