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Integrate the functions(sec^2x)/(sqrt(ta...

Integrate the functions`(sec^2x)/(sqrt(tan^2x+4))`

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`int (sec^(2)x)/(sqrt(tan^(2)x+4))dx" "underset(rArr sec^(2)x dx=dt)(" Let " tan x =t)`
` = int (1)/( sqrt(t^(2) +2^(2)))dt`
` = log |t+sqrt(t^(2) +2^(2))|+c`
` =log |tan x+sqrt(tan^(2) x+4)|+c`
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