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Popular Calculus >

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

Solution

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

Solution

\frac{33}{4}

+1

Decimal

8.25

Solution steps

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

\int_{- 1}^{2} x^{3} d x = \frac{15}{4}

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

\int_{- 1}^{2} 2 d x = 6

= \frac{15}{4} - \frac{3}{2} + 6

Simplify

\frac{15}{4} - \frac{3}{2} + 6 : \frac{33}{4}

= \frac{33}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x^3-x+2 ?
The integral from-1 to 2 of x^3-x+2 is 33/4