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Popular >

integral of (x^2-5x)

Solution

\int (x^{2} - 5 x) d x

Solution

\frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + C

Solution steps

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

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

\int 5 x d x = \frac{5 x ^{2}}{2}

= \frac{x ^{3}}{3} - \frac{5 x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + C

Graph

Popular Examples

integral of 1/(a^2-1)

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

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\int t cosh (t) d t

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\int \frac{ln ( x + 1 )}{3 x + 1} d x

integral of (5xe^x)

\int (5 x e^{x}) d x

integral of 1/(5+13sin(2x))

\int \frac{1}{5 + 13 sin ( 2 x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^2-5x) ?
The integral of (x^2-5x) is (x^3)/3-(5x^2)/2+C