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Popular Calculus >

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

Solution

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

Solution

10

Solution steps

\int_{0}^{2} 2 t^{3} + 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_{0}^{2} 2 t^{3} d t + \int_{0}^{2} t d t

\int_{0}^{2} 2 t^{3} d t = 8

\int_{0}^{2} t d t = 2

= 8 + 2

Simplify

= 10

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (2t^3+t) ?
The integral from 0 to 2 of (2t^3+t) is 10