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Popular >

integral of 3x^3-12x

Solution

\int 3 x^{3} - 12 x d x

Solution

\frac{3 x ^{4}}{4} - 6 x^{2} + C

Solution steps

\int 3 x^{3} - 12 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 3 x^{3} d x - \int 12 x d x

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

\int 12 x d x = 6 x^{2}

= \frac{3 x ^{4}}{4} - 6 x^{2}

Add a constant to the solution

= \frac{3 x ^{4}}{4} - 6 x^{2} + C

Popular Examples

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\frac{d y}{d t} + tan (t) y = 3 sin (t), y (0) = 1

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\frac{d y}{d x} = \frac{3 x ^{2}}{y ( 1 - x ^{3} )}

derivative of-32cos(8x)

\frac{d}{d x} (- 32 cos (8 x))

Frequently Asked Questions (FAQ)

What is the integral of 3x^3-12x ?
The integral of 3x^3-12x is (3x^4)/4-6x^2+C