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If $P = \int_{0}^{3 π} f (\cos^{2} x) dx and Q = \int_{0}^{π} f (\cos^{2} x) dx$ then

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P−Q=0

P−2Q=0

P−3Q=0

P−5Q=0

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Correct option is C

Given, P=∫03π fcos2⁡xdx …..(i)and Q=∫0π fcos2⁡xdx …….(ii)From Eq.(i),P=3∫0π fcos2⁡xdx⇒P=3Q⇒P−3Q=0

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If P=∫03π fcos2⁡xdx and Q=∫0π fcos2⁡xdx then

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If $P = \int_{0}^{3 π} f (\cos^{2} x) dx and Q = \int_{0}^{π} f (\cos^{2} x) dx$ then