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:

What is the integral of the following expression? 1/x^2cos^2(1/2) - Practice Questions CBSE - Maths Class 12 (2023 Boards)

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Transcript

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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