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

The integral from-pi/2 to pi/2 of cos(x)-1 is 2-pi

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integral from-pi/2 to pi/2 of cos(x)-1

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

2 - π

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) - 1 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_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) d x - \int_{- \frac{π}{2}}^{\frac{π}{2}} 1 d x

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

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

= 2 - π

\int_{0}^{2 π} \frac{1}{2}

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) - 4 d x

\int_{1}^{2} (5 - 2 x) d x

\int_{- 2}^{2} (1 - x^{2}) d x

\int_{0}^{l n (6)} x e^{x} d x

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