Mathematics

Problem

For the following questions, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows. Let

F(x)

be an indefinite integral of

\tan^2 x

. Statement I The function

F(x)

satisfies

F(x+ \pi) = F(x)

for all real

x

. Statement II

\int {\tan ^2}x dx = \tan x - x + c

for all real

x

. a. Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. b. Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. c. Statement I is true; Statement II is false. d. Statement I is false; Statement II is true.

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