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Popular >

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

Solution

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

Solution

x^{2} - \frac{4}{x} + C

Solution steps

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

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

\int \frac{4}{x ^{2}} d x = - \frac{4}{x}

= x^{2} - \frac{4}{x}

Add a constant to the solution

= x^{2} - \frac{4}{x} + C

Popular Examples

integral of x^2(x^3+5)

\int x^{2} (x^{3} + 5) d x

integral of 3/(sqrt(x)+2)

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

integral of sin(22x)cos(13x)

\int sin (22 x) cos (13 x) d x

integral of (x^3)/(sqrt(x-2))

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

integral of 1/(v^2+6v+18)

\int \frac{1}{v ^{2} + 6 v + 18} d v

Frequently Asked Questions (FAQ)

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