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

The integral from-1 to 2 of x^4-2x^3+2 is 51/10

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

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

\frac{51}{10}

Decimal

5.1

Solution steps

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

\int_{- 1}^{2} x^{4} d x = \frac{33}{5}

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

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

= \frac{33}{5} - \frac{15}{2} + 6

Simplify

\frac{33}{5} - \frac{15}{2} + 6 : \frac{51}{10}

= \frac{51}{10}

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What is the integral from-1 to 2 of x^4-2x^3+2 ?
The integral from-1 to 2 of x^4-2x^3+2 is 51/10