What is the integral from-1 to 2 of 4x^5-x^2-7x ?

The integral from-1 to 2 of 4x^5-x^2-7x is 57/2

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integral from-1 to 2 of 4x^5-x^2-7x

\int_{- 1}^{2} 4 x^{5} - x^{2} - 7 x d x

\frac{57}{2}

Decimal Notation

28.5

Solution steps

\int_{- 1}^{2} 4 x^{5} - x^{2} - 7 x 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} 4 x^{5} d x - \int_{- 1}^{2} x^{2} d x - \int_{- 1}^{2} 7 x d x

\int_{- 1}^{2} 4 x^{5} d x = 42

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

\int_{- 1}^{2} 7 x d x = \frac{21}{2}

= 42 - 3 - \frac{21}{2}

Simplify

42 - 3 - \frac{21}{2} : \frac{57}{2}

= \frac{57}{2}

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What is the integral from-1 to 2 of 4x^5-x^2-7x ?
The integral from-1 to 2 of 4x^5-x^2-7x is 57/2