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Popular >

integral of 8-2x^2

Solution

\int 8 - 2 x^{2} d x

Solution

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

Solution steps

\int 8 - 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 8 d x - \int 2 x^{2} d x

\int 8 d x = 8 x

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

= 8 x - \frac{2 x ^{3}}{3}

Add a constant to the solution

= 8 x - \frac{2 x ^{3}}{3} + C

Popular Examples

(\partial)/(\partial y)(4arctan(x/y))

\frac{\partial}{\partial y} (4 arctan (\frac{x}{y}))

derivative of (x^2-2x-48/(x+6))

\frac{d}{d x} (\frac{x ^{2} - 2 x - 48}{x + 6})

derivative of f(x)=4x^2-2x+3 derivative of

f (x) = 4 x^{2} - 2 x + 3

parity tan(3x)+x^4 parity

tan (3 x) + x^{4}

y^{''}+11y^'+28y=84x^2+66x+6+40e^x

y^{^{''}} + 11 y^{^{'}} + 28 y = 84 x^{2} + 66 x + 6 + 40 e^{x}

Frequently Asked Questions (FAQ)

What is the integral of 8-2x^2 ?
The integral of 8-2x^2 is 8x-(2x^3)/3+C