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Popular >

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

Solution

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

Solution

6

Solution steps

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

\int_{0}^{2} t^{3} d t = 4

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

= 4 + 2

Simplify

= 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (t^3+t) ?
The integral from 0 to 2 of (t^3+t) is 6