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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 Notation

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}

Popular Examples

integral from-1 to 1 of (x)^2

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

integral from 0 to pi of picos(nx)

\int_{0}^{π} π cos (n x) d x

integral from 0 to x^2 of cos(t^3)

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

integral from 0 to pi/3 of 2cos(x)

\int_{0}^{\frac{π}{3}} 2 cos (x) d x

integral from 0 to 2 of 5^{3x}

\int_{0}^{2} 5^{3 x} 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