Definite Integration Question 39

Question 39

  1. The value of the integral 0π/2cotxcotx+tanxdx is (a) π/4 (b) π/2 (c) π (d) None of these

(1983,1M)

Assertion and Reason

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Solution:

  1. Let I=0π/2cotxcotx+tanxdx

I=0π/2tanxcotx+tanxdx

On adding Eqs. (i) and (ii), we get

2I=0π/21dx I=π4



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