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If P = int(0)^(3pi) f(cos^(2)x)dx and Q...

If ` P = int_(0)^(3pi) f(cos^(2)x)dx and Q=int_(0)^(pi) f(cos^(2)x)dx` , then

A

`P-Q=0`

B

`P- 2Q=0`

C

`P-3 Q =0`

D

`P- 5Q =0`

Text Solution

Verified by Experts

The correct Answer is:
C
Given , ` P= int_(0)^(3pi)f(cos^(2)x)dx" "` …(i)
and ` Q = int_(0)^(pi) f(cos^(2)x)dx" "` …(ii)
From Eq.(i) ` P = 3 int_(0)^(pi)f(cos^(2)x)dx= 3Q`
` [ :' ` f is periodic with period ` pi` ]
` :. P - 3Q =0`
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