What is the integral from-2 to 4 of 1-x-4x^3+2x^5 ?

The integral from-2 to 4 of 1-x-4x^3+2x^5 is 1104

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integral from-2 to 4 of 1-x-4x^3+2x^5

\int_{- 2}^{4} 1 - x - 4 x^{3} + 2 x^{5} d x

1104

Solution steps

\int_{- 2}^{4} 1 - x - 4 x^{3} + 2 x^{5} 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}^{4} 1 d x - \int_{- 2}^{4} x d x - \int_{- 2}^{4} 4 x^{3} d x + \int_{- 2}^{4} 2 x^{5} d x

\int_{- 2}^{4} 1 d x = 6

\int_{- 2}^{4} x d x = 6

\int_{- 2}^{4} 4 x^{3} d x = 240

\int_{- 2}^{4} 2 x^{5} d x = 1344

= 6 - 6 - 240 + 1344

Simplify

= 1104

\int_{0}^{y} x (y^{2} - x^{2})^{\frac{3}{2}} d x

\int_{0}^{\frac{π}{2}} 4 sin (\frac{x}{2}) d x

\int_{0}^{2 π} 4 cos^{2} (x) d x

\int_{0}^{y} 1 d x

\int_{0}^{π} x sin (\frac{x}{2}) d x

What is the integral from-2 to 4 of 1-x-4x^3+2x^5 ?
The integral from-2 to 4 of 1-x-4x^3+2x^5 is 1104