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Popular >

integral of 12-x^2

Solution

\int 12 - x^{2} d x

Solution

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

Solution steps

\int 12 - x^{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 12 d x - \int x^{2} d x

\int 12 d x = 12 x

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

= 12 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 12 x - \frac{x ^{3}}{3} + C

Popular Examples

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\int \frac{15 e ^{3 t}}{10 + e ^{3 t}} d t

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\int sin (7 x) sin (3 x) d x

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\int (1 + 2 y) d y

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

integral of x^3-2x^2-x+2

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

Frequently Asked Questions (FAQ)

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