What is the integral from-2 to 2 of x^3cos(x/2)+1/2 ?

The integral from-2 to 2 of x^3cos(x/2)+1/2 is 2

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integral from-2 to 2 of x^3cos(x/2)+1/2

\int_{- 2}^{2} x^{3} cos (\frac{x}{2}) + \frac{1}{2} d x

2

Solution steps

\int_{- 2}^{2} x^{3} cos (\frac{x}{2}) + \frac{1}{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}^{2} x^{3} cos (\frac{x}{2}) d x + \int_{- 2}^{2} \frac{1}{2} d x

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

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

= 0 + 2

Simplify

= 2

\frac{e ^{- 4 s}}{s ^{2} + 4 s + 3}

- 2 x + 3

y^{^{'}} = \frac{x - y}{2}

y = 17 - x^{2}, y = - 2 x + 14

\int \frac{1}{x ^{2} + 2 x - 15} d x

What is the integral from-2 to 2 of x^3cos(x/2)+1/2 ?
The integral from-2 to 2 of x^3cos(x/2)+1/2 is 2