Indefinite Integration 1 Question 39

40. 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/21dxI=π4



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