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Popular >

integral from-2 to 2 of (3u+1)^2

Solution

\int_{- 2}^{2} (3 u + 1)^{2} d u

Solution

52

Solution steps

\int_{- 2}^{2} (3 u + 1)^{2} d u

Expand

(3 u + 1)^{2} : 9 u^{2} + 6 u + 1

= \int_{- 2}^{2} 9 u^{2} + 6 u + 1 d u

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}^{2} 9 u^{2} d u + \int_{- 2}^{2} 6 u d u + \int_{- 2}^{2} 1 d u

\int_{- 2}^{2} 9 u^{2} d u = 48

\int_{- 2}^{2} 6 u d u = 0

\int_{- 2}^{2} 1 d u = 4

= 48 + 0 + 4

Simplify

= 52

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (3u+1)^2 ?
The integral from-2 to 2 of (3u+1)^2 is 52