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Popular >

integral of 2x^2-2

Solution

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

Solution

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

Solution steps

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

derivative of (1-x^2/x)

\frac{d}{d x} (\frac{1 - x ^{2}}{x})

derivative of x^2-x^3+3

\frac{d}{d x} (x^{2} - x^{3} + 3)

integral of (e^{ln^2(x)})/x ln(x)

\int \frac{e ^{l n^{2} (x)}}{x} ln (x) d x

derivative of y= 8/(sqrt(x-7))derivative of

y = \frac{8}{x - 7}

derivative of 2x+cos(x)

\frac{d}{d x} (2 x + cos (x))

Frequently Asked Questions (FAQ)

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