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Examples: ` int sec^2x / sqrt ( 16 + tan^2x) dx`A. `log|tanx+sqrt(tan^(2)x+16)|+C`B. `log|x+sqrt(tan^(2)x+16)|+C`C. `log|tan x-sqrt(tan^(2)x+16)|+C`D. None of these

Answer» Correct Answer - A
Put `tan x=t and sec^(2)x dx =dt . `then ,
`I=int (dt)/(sqrt(t^(2)+4^(2)))=log |t+sqrt(t^(2)+16)|=log |tan x+sqrt(tan^(2)x+16)|+C.`


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