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Popular >

integral of 6x^2-3x

Solution

\int 6 x^{2} - 3 x d x

Solution

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

Solution steps

\int 6 x^{2} - 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^{2} d x - \int 3 x d x

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of-0.00000003x^3+9x-6000

\frac{d}{d x} (- 0.00000003 x^{3} + 9 x - 6000)

integral of (-3x^3+\sqrt[5]{x})/(5x)

\int \frac{- 3 x ^{3} + 5 x}{5 x} d x

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\int 14 x^{13} d x

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\int \frac{( x + 5 ) ^{7}}{2 x} d x

taylor-(81x)/4 taylor

- \frac{81 x}{4}

Frequently Asked Questions (FAQ)

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