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Popular >

integral of 4-4x^2

Solution

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

Solution

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

Solution steps

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

\int 4 d x = 4 x

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

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

Add a constant to the solution

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

Graph

Popular Examples

area |x-9|, x/2 area

∣ x - 9 ∣, \frac{x}{2}

y^{''}+5y^'+4y=-13te^{5t}

y^{^{''}} + 5 y^{^{'}} + 4 y = - 13 t e^{5 t}

integral from 4 to x^2 of 3sqrt(1+t^2)

\int_{4}^{x^{2}} 3 1 + t^{2} d t

\frac{d y}{d x} - y = x

y^{''}+9y=tsin(3t)

y^{^{''}} + 9 y = t sin (3 t)

Frequently Asked Questions (FAQ)

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