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Popular Calculus >

integral from 1 to 3 of 4x-x^2

Solution

\int_{1}^{3} 4 x - x^{2} d x

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

\int_{1}^{3} 4 x - x^{2} 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}^{3} 4 x d x - \int_{1}^{3} x^{2} d x

\int_{1}^{3} 4 x d x = 16

\int_{1}^{3} x^{2} d x = \frac{26}{3}

= 16 - \frac{26}{3}

Simplify

16 - \frac{26}{3} : \frac{22}{3}

= \frac{22}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 4x-x^2 ?
The integral from 1 to 3 of 4x-x^2 is 22/3