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Popular >

integral of 6x^3-3x

Solution

\int 6 x^{3} - 3 x d x

Solution

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

Solution steps

\int 6 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 6 x^{3} d x - \int 3 x d x

\int 6 x^{3} d x = \frac{3 x ^{4}}{2}

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

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

Add a constant to the solution

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

Popular Examples

integral of 1/(9+5x^2)

\int \frac{1}{9 + 5 x ^{2}} d x

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\int (10 x^{4} + 2 x + 1) d x

integral of sqrt((1+cos(x))^2+sin^2(x))

\int (1 + cos (x))^{2} + sin^{2} (x) d x

integral of (3x-2)/(x^2+8x+7)

\int \frac{3 x - 2}{x ^{2} + 8 x + 7} d x

Frequently Asked Questions (FAQ)

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