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Popular >

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

Solution

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

Solution

\frac{11}{3}

+1

Decimal Notation

3.66666 \dots

Solution steps

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

\int_{- 2}^{- 1} x^{2} d x = \frac{7}{3}

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

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

= - \frac{7}{3} - (- 3) + 3

Simplify

- \frac{7}{3} - (- 3) + 3 : \frac{11}{3}

= \frac{11}{3}

Popular Examples

integral from 3 to 5 of x^{3/2}

\int_{3}^{5} x^{\frac{3}{2}} d x

integral from 0 to 2 of 2te^{-t^2}

\int_{0}^{2} 2 t e^{- t^{2}} d t

integral from 1 to 8 of 5/t

\int_{1}^{8} \frac{5}{t} d t

integral from-4 to 2 of 2x

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

integral from x to y of 1/x

\int_{x}^{y} \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to-1 of-x^2-2x+3 ?
The integral from-2 to-1 of-x^2-2x+3 is 11/3