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Popular >

integral of 1-2x^2

Solution

\int 1 - 2 x^{2} d x

Solution

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

Solution steps

\int 1 - 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 1 d x - \int 2 x^{2} d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Popular Examples

integral of (1/(x+2))

\int (\frac{1}{x + 2}) d x

integral of (x+sqrt(x))^2+8e^{2x}

\int (x + x)^{2} + 8 e^{2 x} d x

integral of 5/(sqrt(8x-x^2))

\int \frac{5}{8 x - x ^{2}} d x

integral of x^3sqrt(x^2)

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

integral of sin^3(x)sec^3(x)

\int sin^{3} (x) sec^{3} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of 1-2x^2 ?
The integral of 1-2x^2 is x-(2x^3)/3+C