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Popular >

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

Solution

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

Solution

- \frac{5}{3}

+1

Decimal Notation

- 1.66666 \dots

Solution steps

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

\int_{2}^{3} x^{2} d x = \frac{19}{3}

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

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

= \frac{19}{3} - 5 - 3

Simplify

\frac{19}{3} - 5 - 3 : - \frac{5}{3}

= - \frac{5}{3}

Popular Examples

integral from 0 to 3 of (x^2+3)

\int_{0}^{3} (x^{2} + 3) d x

integral from 0 to 4 of (9-x^2)

\int_{0}^{4} (9 - x^{2}) d x

integral from 1 to 4 of 1/(x^3)

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

integral from 0 to 2 of 1/((1-x)^3)

\int_{0}^{2} \frac{1}{( 1 - x ) ^{3}} d x

integral from-1 to 0 of (4x-1)

\int_{- 1}^{0} (4 x - 1) d x

Frequently Asked Questions (FAQ)

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