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Popular >

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

Solution

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

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

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

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

\int_{1}^{3} 2 d x = 4

= \frac{26}{3} - 4 - 4

Simplify

\frac{26}{3} - 4 - 4 : \frac{2}{3}

= \frac{2}{3}

Popular Examples

integral from 0 to 3 of 2pi(10-x)(2x)

\int_{0}^{3} 2 π (10 - x) (2 x) d x

integral from 0 to 2pi of (1-cos(2θ))/2

\int_{0}^{2 π} \frac{1 - cos ( 2 θ )}{2} d θ

integral from 0 to x of 0.5x

\int_{0}^{x} 0.5 x d x

integral from-64 to 125 of 1/(x^{1/3)}

\int_{- 64}^{125} \frac{1}{x ^{\frac{1}{3}}} d x

integral from 0 to 3 of-2x^3

\int_{0}^{3} - 2 x^{3} d x

Frequently Asked Questions (FAQ)

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