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Popular >

integral of 4x^2-2

Solution

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

Solution

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

Solution steps

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

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x \to + 1 lim (0)

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\frac{x}{( x ^{2} - 9 ) \cdot x}

derivative of (sin(x)/2)

\frac{d}{d x} (\frac{sin ( x )}{2})

(d^2x)/(dt^2)+k^2x=0

\frac{d ^{2} x}{d t ^{2}} + k^{2} x = 0

limit as x approaches 0 of 1/(cos(x))

x \to 0 lim (\frac{1}{cos ( x )})

Frequently Asked Questions (FAQ)

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