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Popular Calculus >

integral from 1 to 4 of x^2-2x-1

Solution

\int_{1}^{4} x^{2} - 2 x - 1 d x

Solution

3

Solution steps

\int_{1}^{4} x^{2} - 2 x - 1 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_{1}^{4} x^{2} d x - \int_{1}^{4} 2 x d x - \int_{1}^{4} 1 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 2 x d x = 15

\int_{1}^{4} 1 d x = 3

= 21 - 15 - 3

Simplify

= 3

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x^2-2x-1 ?
The integral from 1 to 4 of x^2-2x-1 is 3