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Popular Calculus >

integral of (3-4x^2)

Solution

\int (3 - 4 x^{2}) d x

Solution

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

Solution steps

\int 3 - 4 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 3 d x - \int 4 x^{2} d x

\int 3 d x = 3 x

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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