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Popular >

integral of x^3-2

Solution

\int x^{3} - 2 d x

Solution

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

Solution steps

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

\int x^{3} d x = \frac{x ^{4}}{4}

\int 2 d x = 2 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^2)/((1-x^2))

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

integral of (2x-1)/(x^3-16x^2-64x)

\int \frac{2 x - 1}{x ^{3} - 16 x ^{2} - 64 x} d x

integral of-9sin(9x)

\int - 9 sin (9 x) d x

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

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

integral of x^4+5sqrt(x)

\int x^{4} + 5 x d x

Frequently Asked Questions (FAQ)

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