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Popular >

integral of 3/(x^2)-1

Solution

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

Solution

- \frac{3}{x} - x + C

Solution steps

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

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

\int 1 d x = x

= - \frac{3}{x} - x

Add a constant to the solution

= - \frac{3}{x} - x + C

Graph

Popular Examples

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

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

derivative of 2/(1+2x)derivative of

\frac{2}{1 + 2 x}

integral of (2+3x)/(1+x^2)

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

integral from 1 to 6 of x

\int_{1}^{6} x d x

integral from 4 to 8 of x/(x^2-2x-3)

\int_{4}^{8} \frac{x}{x ^{2} - 2 x - 3} d x

Frequently Asked Questions (FAQ)

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