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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
Let f(x)f(x) be an indefinite integral of cos⁡3x\cos ^3 x.

Statement 1:f(x)1: f(x) is a periodic function of period π\pi.

Statement 2: cos⁡3x\cos ^3 x is a periodic function.
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Correct option: D
Statement 1 is false, Statement 2 is true.
Statement 1 is false, Statement 2 is true. cos3(x) is periodic, but its indefinite integral is not periodic with period pi.

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