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Popular >

integral from 2 to 3 of t^2+3

Solution

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

Solution

\frac{28}{3}

+1

Solution steps

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

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

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

= \frac{19}{3} + 3

Simplify

\frac{19}{3} + 3 : \frac{28}{3}

= \frac{28}{3}

Popular Examples

integral from-3 to 0 of (x+3)

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

integral from-7 to 2 of (-x^2-3x)

\int_{- 7}^{2} (- x^{2} - 3 x) d x

integral from-3 to 0 of sqrt(x+4)

\int_{- 3}^{0} x + 4 d x

integral from 0 to y of xe^{y^3}

\int_{0}^{y} x e^{y^{3}} d x

integral from 4 to 1 of x^2

\int_{4}^{1} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of t^2+3 ?
The integral from 2 to 3 of t^2+3 is 28/3