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Popular Calculus >

integral from-2 to 3 of x^3-7x+2

Solution

\int_{- 2}^{3} x^{3} - 7 x + 2 d x

Solution

\frac{35}{4}

+1

Decimal

8.75

Solution steps

\int_{- 2}^{3} x^{3} - 7 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_{- 2}^{3} x^{3} d x - \int_{- 2}^{3} 7 x d x + \int_{- 2}^{3} 2 d x

\int_{- 2}^{3} x^{3} d x = \frac{65}{4}

\int_{- 2}^{3} 7 x d x = \frac{35}{2}

\int_{- 2}^{3} 2 d x = 10

= \frac{65}{4} - \frac{35}{2} + 10

Simplify

\frac{65}{4} - \frac{35}{2} + 10 : \frac{35}{4}

= \frac{35}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of x^3-7x+2 ?
The integral from-2 to 3 of x^3-7x+2 is 35/4