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Popular >

integral from 0 to 3 of x^2-6x+10

Solution

\int_{0}^{3} x^{2} - 6 x + 10 d x

Solution

12

Solution steps

\int_{0}^{3} x^{2} - 6 x + 10 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} x^{2} d x - \int_{0}^{3} 6 x d x + \int_{0}^{3} 10 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 6 x d x = 27

\int_{0}^{3} 10 d x = 30

= 9 - 27 + 30

Simplify

= 12

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2-6x+10 ?
The integral from 0 to 3 of x^2-6x+10 is 12