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Popular >

integral of-x^2-2

Solution

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

Solution

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

Solution steps

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

integral of arctan(sqrt(x-1))

\int arctan (x - 1) d x

integral of x^2(8x^3-9)^6

\int x^{2} (8 x^{3} - 9)^{6} d x

integral of (x^{3+1/7})/7

\int \frac{x ^{3 + \frac{1}{7}}}{7} d x

integral of (3/(2w^3)-(3w^2)/5)

\int (\frac{3}{2 w ^{3}} - \frac{3 w ^{2}}{5}) d w

integral of-10sin(10x)

\int - 10 sin (10 x) d x

Frequently Asked Questions (FAQ)

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