For the following questions

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

For the following questions, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows. Let F(x)F(x) be an indefinite integral of tan⁡2x\tan^2 x. Statement I The function F(x)F(x) satisfies F(x+π)=F(x)F(x+ \pi) = F(x) for all real xx. Statement II ∫tan⁡2xdx=tan⁡x−x+c\int {\tan ^2}x dx = \tan x - x + c for all real xx. (1) Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. (2) Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. (3) Statement I is true; Statement II is false. (4) Statement I is false; Statement II is true.

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