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Popular >

integral of (3x^2-x)

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

derivative of e^{3-2x}

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

integral of (x^2+1)^9

\int (x^{2} + 1)^{9} d x

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

integral of 1/(cos^2(x)sin^2(x))

\int \frac{1}{cos ^{2} ( x ) sin ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

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