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Popular >

integral of (1-3x^2)

Solution

\int (1 - 3 x^{2}) d x

Solution

x - x^{3} + C

Solution steps

\int 1 - 3 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 3 x^{2} d x

\int 1 d x = x

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

= x - x^{3}

Add a constant to the solution

= x - x^{3} + C

Graph

Popular Examples

integral of 1/(1-2x+2x^2)

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

integral of (2-x)/(sqrt(1-x^2))

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

integral of e^{4-5x}

\int e^{4 - 5 x} d x

integral of (x^2-3x+2)^2(2x-3)

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

integral of (ln(x))/(xsqrt(1+ln^2(x)))

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

Frequently Asked Questions (FAQ)

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