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Popular Calculus >

integral of x^3-3x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

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\frac{d}{d x} (100 e^{x})

y^{''}+y=tan(x)

y^{^{''}} + y = tan (x)

tangent of f(x)=x^2+x,\at x=3

t an g e n t f (x) = x^{2} + x, at x = 3

derivative of sqrt(-7x-10)

\frac{d}{d x} (- 7 x - 10)

integral of 2^2

\int 2^{2} d x

Frequently Asked Questions (FAQ)

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