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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

tangent of sqrt(2x^2-7)tangent of

2 x^{2} - 7

8 y^{^{''}} + 26 y = 0

inverse oflaplace (e^{-s})/(s^3)inverse laplace

\frac{e ^{- s}}{s ^{3}}

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

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

inverse oflaplace 1/(s^3)inverse laplace

\frac{1}{s ^{3}}

Frequently Asked Questions (FAQ)

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