Answer
$0$
Work Step by Step
Given: $\int_{-\pi}^{\pi}$$\cos x dx$
$=>$$[$$\sin x$$]$$_{-\pi}^{\pi}$
Now, we apply the limits
$=>$$\sin\pi$$-$$\sin(-\pi)$
$=>$$\sin\pi$$+$$\sin\pi$
$=>$$2\sin\pi$
$=>$$2(0)$$=$$0$
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