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Popular >

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

Solution

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

Solution

- \frac{5}{3}

+1

Decimal

- 1.66666 \dots

Solution steps

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

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

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

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

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

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

Simplify

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

= - \frac{5}{3}

Graph

Popular Examples

integral from-1 to 1 of 1/(x^2+5x+6)

\int_{- 1}^{1} \frac{1}{x ^{2} + 5 x + 6} d x

integral from e^{3x-6}+10 to 11 of 1

\int_{e^{3 x - 6} + 10}^{11} 1 d y

integral from 1 to e^1 of 1/x

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

integral from 0 to 1 of 2/(x+1)

\int_{0}^{1} \frac{2}{x + 1} d x

integral from 0 to y-z of 2x-y

\int_{0}^{y - z} 2 x - y d x

Frequently Asked Questions (FAQ)

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