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Popular Calculus >

integral from 2 to 5 of (t^2+2t)

Solution

\int_{2}^{5} (t^{2} + 2 t) d t

Solution

60

Solution steps

\int_{2}^{5} t^{2} + 2 t 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}^{5} t^{2} d t + \int_{2}^{5} 2 t d t

\int_{2}^{5} t^{2} d t = 39

\int_{2}^{5} 2 t d t = 21

= 39 + 21

Simplify

= 60

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of (t^2+2t) ?
The integral from 2 to 5 of (t^2+2t) is 60