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Popular >

integral of (x^2-4x)

Solution

\int (x^{2} - 4 x) d x

Solution

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

Solution steps

\int x^{2} - 4 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 x^{2} d x - \int 4 x d x

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

\int 4 x d x = 2 x^{2}

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

Add a constant to the solution

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

Popular Examples

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x \to - 3 - lim (ln (x + 3))

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\frac{d}{d x} (tan^{4} (4 x))

integral of 2x^3-2/3 x^2+9x

\int 2 x^{3} - \frac{2}{3} x^{2} + 9 x d x

integral of (12)/((1+x+y)^5)

\int \frac{12}{( 1 + x + y ) ^{5}} d y

x^2y^'+x(x+2)y=ex

x^{2} y^{^{'}} + x (x + 2) y = e x

Frequently Asked Questions (FAQ)

What is the integral of (x^2-4x) ?
The integral of (x^2-4x) is (x^3)/3-2x^2+C