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Popular >

integral from 2 to 5 of x^2-6x+9

Solution

\int_{2}^{5} x^{2} - 6 x + 9 d x

Solution

3

Solution steps

\int_{2}^{5} 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_{2}^{5} x^{2} d x - \int_{2}^{5} 6 x d x + \int_{2}^{5} 9 d x

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 6 x d x = 63

\int_{2}^{5} 9 d x = 27

= 39 - 63 + 27

Simplify

= 3

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\int 100 x^{\frac{3}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of x^2-6x+9 ?
The integral from 2 to 5 of x^2-6x+9 is 3