What is the integral of the following expression?

1/(x2 cos2(1/x)

A. − tan 𝑥 + 𝐴, where A is a constant.

B. − tan 1/x-B, where B is a constant.

C.  1/2 tan 𝑥 + 𝐶, where C is a constant.

D. 𝑠𝑒𝑐 1/x  𝑡𝑎𝑛 1/x-D , where D is a constant.

 

Answer:

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What is the integral of the following expression? 1/(𝑥2 𝑐𝑜𝑠2(1/𝑥) ) A. − tan 𝑥 + 𝐴, where A is a constant. B. − tan 1/𝑥−𝐵, where B is a constant. C. 1/2 tan 𝑥 + 𝐶, where C is a constant. D. 𝑠𝑒𝑐 1/𝑥 𝑡𝑎𝑛 1/𝑥−𝐷 , where D is a constant.So, correct answer is (B)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.