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Popular >

integral from 1 to 3 of (x^2-x)

Solution

\int_{1}^{3} (x^{2} - x) d x

Solution

\frac{14}{3}

+1

Solution steps

\int_{1}^{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_{1}^{3} x^{2} d x - \int_{1}^{3} x d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} x d x = 4

= \frac{26}{3} - 4

Simplify

\frac{26}{3} - 4 : \frac{14}{3}

= \frac{14}{3}

Popular Examples

integral from 0 to sqrt(pi of)x*cos(x^2)

\int_{0}^{π} x \cdot cos (x^{2}) d x

integral from 7 to 49 of 1/(x(ln(x))^4)

\int_{7}^{49} \frac{1}{x ( ln ( x ) ) ^{4}} d x

integral from-1/8 to 1/8 of (sin(2pix))

\int_{- \frac{1}{8}}^{\frac{1}{8}} (sin (2 π x)) d x

integral from-6 to 1 of-x^2-3x

\int_{- 6}^{1} - x^{2} - 3 x d x

integral from 0 to 60 of x/2

\int_{0}^{60} \frac{x}{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x^2-x) ?
The integral from 1 to 3 of (x^2-x) is 14/3