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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

Popular Examples

integral of (e^{3x})^2

\int (e^{3 x})^{2} d x

integral of 1/((sin^3(x)cos(x)))

\int \frac{1}{( sin ^{3} ( x ) cos ( x ) )} d x

integral of (x+6)^5

\int (x + 6)^{5} d x

integral of (x^2+1)/((x^3+3x)^{2/5)}

\int \frac{x ^{2} + 1}{( x ^{3} + 3 x ) ^{\frac{2}{5}}} d x

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

\int \frac{( x - 2 x ^{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