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Popular >

integral of 48-3x^2

Solution

\int 48 - 3 x^{2} d x

Solution

48 x - x^{3} + C

Solution steps

\int 48 - 3 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 48 d x - \int 3 x^{2} d x

\int 48 d x = 48 x

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

= 48 x - x^{3}

Add a constant to the solution

= 48 x - x^{3} + C

Graph

Popular Examples

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\int (12 - 8 x)^{3} d x

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\int \frac{x ^{2}}{x ^{3} + 6} d x

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\int \frac{x ^{4}}{x ^{4} + 1} d x

integral of 1/(x-e)

\int \frac{1}{x - e} d x

Frequently Asked Questions (FAQ)

What is the integral of 48-3x^2 ?
The integral of 48-3x^2 is 48x-x^3+C