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Popular Calculus >

integral from-3 to 0 of x^2+6x+9

Solution

\int_{- 3}^{0} x^{2} + 6 x + 9 d x

Solution

9

Solution steps

\int_{- 3}^{0} x^{2} + 6 x + 9 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_{- 3}^{0} x^{2} d x + \int_{- 3}^{0} 6 x d x + \int_{- 3}^{0} 9 d x

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

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

\int_{- 3}^{0} 9 d x = 27

= 9 - 27 + 27

Simplify

= 9

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-3 to 0 of x^2+6x+9 ?
The integral from-3 to 0 of x^2+6x+9 is 9