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If f(x) = sqrt(cos^(2)x)+sqrt(sin^(2)x) ...

If `f(x) = sqrt(cos^(2)x)+sqrt(sin^(2)x)` then `int_(-3//2)^(3//2)[f(x)]dx=`
Where [.] G.I.F.

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
`f(x) = |cos x| + |sin x|`
`[f(x)| = 1`
So, `int_(-3//2)^(3//2) 1dx = [x]_(-3//2)^(3//2) = 3`
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