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Integrate the following functions sec^2x...

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

Text Solution

Verified by Experts

Put tan x = t. Then `dt = sec^2x dx`
therefore` int sec^2 x/sqrt(tan^2 x+4) dx = int dt/sqrt(t^2+4)`
= `log|t+sqrt(t^2+4)|+c`
=`log |tanx+ sqrt(tan^2 x+4)|+c`
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