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Popular Calculus >

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 from 0 to infinity of 4sin^2(x)

\int_{0}^{\infty} 4 sin^{2} (x) d x

integral of (1-x^2)

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

integral of sin(x)sin(t-x)

\int sin (x) sin (t - x) d x

a re a y = x^{7}, 0, 4

integral of 1/((3-5x)^2)

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