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Popular >

integral of (2x^2-4)

Solution

\int (2 x^{2} - 4) d x

Solution

\frac{2 x ^{3}}{3} - 4 x + C

Solution steps

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

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

\int 4 d x = 4 x

= \frac{2 x ^{3}}{3} - 4 x

Add a constant to the solution

= \frac{2 x ^{3}}{3} - 4 x + C

Popular Examples

integral of (10x)/((x^2-8)^4)

\int \frac{10 x}{( x ^{2} - 8 ) ^{4}} d x

integral of-8/(x+4)

\int - \frac{8}{x + 4} d x

integral of (2x^{-3/2}+x^2-x^{-1/2})

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

integral of 1/(sqrt(9x^2-6x+2))

\int \frac{1}{9 x ^{2} - 6 x + 2} d x

integral of (3x-2)/(x^2+2x+17)

\int \frac{3 x - 2}{x ^{2} + 2 x + 17} d x

Frequently Asked Questions (FAQ)

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