Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2`

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JEE MAINS 2018 Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2` JEE MAINS 2018 Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2`
`int_(0)^(pi//2)log(tanx+cotx)dx=-pi(log2)` `int_(0)^(pi//2)log(tanx+cotx)dx=-pi(log2)`
Q35 | Integral 0 to pi/2 log cot x dx | Integrate log cot x dx from 0 to pi/2 | log cot x dx Q35 | Integral 0 to pi/2 log cot x dx | Integrate log cot x dx from 0 to pi/2 | log cot x dx
Integrate log tanx Lt 0 to pi/2 Integrate log tanx Lt 0 to pi/2
The value of `int_0^(pi/2)(ln | tan x +cotx |) dx` is equal to The value of `int_0^(pi/2)(ln | tan x +cotx |) dx` is equal to
Integration of log( tan x+cot x)dx from 0 to π\2 and ONE MORE IMPORTANT QUESTION|| IIT JAM||GATE|| Integration of log( tan x+cot x)dx from 0 to π\2 and ONE MORE IMPORTANT QUESTION|| IIT JAM||GATE||
`int_(0)^(pi//2) log (cotx ) dx=` `int_(0)^(pi//2) log (cotx ) dx=`
Integration of log (tanx + cotx) from 0 to pi/2 Integration of log (tanx + cotx) from 0 to pi/2