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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

(\partial)/(\partial y)((4sqrt(x))/(3y^2+1))

\frac{\partial}{\partial y} (\frac{4 x}{3 y ^{2} + 1})

limit as x approaches 2 of 3+x

x \to 2 lim (3 + x)

derivative of (e^x/(7x^2))

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{2}})

area sin(x),5x, pi/2 ,pi area

sin (x), 5 x, \frac{π}{2}, π

limit as x approaches-2 of x+3

x \to - 2 lim (x + 3)

Frequently Asked Questions (FAQ)

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