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Popular >

integral of 4-2x^2

Solution

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

Solution

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

Solution steps

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

\int 4 d x = 4 x

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

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

Add a constant to the solution

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

Popular Examples

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\int \frac{x + 3}{x ^{2} - 2 x + 5} d x

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\int \frac{2 x ^{8} - 7 x ^{4}}{3 x ^{9}} d x

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\int 2 x e^{y} + \frac{2 x}{y} + \frac{1}{y ^{3}} d x

integral of (4x)/(1+x^4)

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

integral of cos(5x)sin(5x)

\int cos (5 x) sin (5 x) d x

Frequently Asked Questions (FAQ)

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