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Popular >

integral from-2 to 5 of x^2-2x-3

Solution

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

Solution

\frac{7}{3}

+1

Decimal Notation

2.33333 \dots

Solution steps

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

\int_{- 2}^{5} x^{2} d x = \frac{133}{3}

\int_{- 2}^{5} 2 x d x = 21

\int_{- 2}^{5} 3 d x = 21

= \frac{133}{3} - 21 - 21

Simplify

\frac{133}{3} - 21 - 21 : \frac{7}{3}

= \frac{7}{3}

Popular Examples

integral from-1 to 3 of u(1-2u)

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

integral from 0 to pi/2 of (6+3sin(x))

\int_{0}^{\frac{π}{2}} (6 + 3 sin (x)) d x

integral from 1 to 2 of (24)/(t^4-6t^3)

\int_{1}^{2} \frac{24}{t ^{4} - 6 t ^{3}} d t

integral from 0 to 3 of xsin((mpix)/3)

\int_{0}^{3} x sin (\frac{mπ x}{3}) d x

integral from 4 to 6 of 1/(x^2-25)

\int_{4}^{6} \frac{1}{x ^{2} - 25} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of x^2-2x-3 ?
The integral from-2 to 5 of x^2-2x-3 is 7/3