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Popular >

integral from 0 to 3 of 5-(x-1)^2

Solution

\int_{0}^{3} 5 - (x - 1)^{2} d x

Solution

12

Solution steps

\int_{0}^{3} 5 - (x - 1)^{2} d x

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}^{3} 5 d x - \int_{0}^{3} (x - 1)^{2} d x

\int_{0}^{3} 5 d x = 15

\int_{0}^{3} (x - 1)^{2} d x = 3

= 15 - 3

Simplify

= 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 5-(x-1)^2 ?
The integral from 0 to 3 of 5-(x-1)^2 is 12