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Popular >

integral from 0 to 6 of x^2-6x+5

Solution

\int_{0}^{6} x^{2} - 6 x + 5 d x

Solution

- 6

Solution steps

\int_{0}^{6} x^{2} - 6 x + 5 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}^{6} x^{2} d x - \int_{0}^{6} 6 x d x + \int_{0}^{6} 5 d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 6 x d x = 108

\int_{0}^{6} 5 d x = 30

= 72 - 108 + 30

Simplify

= - 6

Popular Examples

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\int_{0}^{1} \frac{1}{5 x - 10} d x

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\int_{0}^{x} t^{3} d t

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\int_{0}^{1} 6 (\frac{y}{x})^{4} d y

integral from 1 to 25 of 1/(1+sqrt(x))

\int_{1}^{25} \frac{1}{1 + x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of x^2-6x+5 ?
The integral from 0 to 6 of x^2-6x+5 is -6