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Popular Calculus >

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

Solution

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

Solution

9

Solution steps

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

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

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

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

= 9 - 27 + 27

Simplify

= 9

Graph

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\int_{0}^{1} 6 e^{3 x} d x

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\int_{0}^{4} 6 - 2 x d x

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\int_{1}^{2} 8 x d x

integral from 0 to 3 of (6+6y-y^2)

\int_{0}^{3} (6 + 6 y - y^{2}) d y

Frequently Asked Questions (FAQ)

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