Evaluate:`int(sinx)/(sqrt(4cos^2x-1))dx`A. `-(1)/(2)log |2cosx+sqrt(4cos^(2)x-1)|+C`B. `-(1)/(3)log |2cosx+sqrt(4cos^(2)x-1)|+C`C. `-(1)/(6)log |cosx+sqrt(2cos^(2)x-1)|+C`D. None of these

Evaluate:`int(sinx)/(sqrt(4cos^2x-1))dx`A. `-(1)/(2)log |2cosx+sqrt(4c

1.	Evaluate:`int(sinx)/(sqrt(4cos^2x-1))dx`A. `-(1)/(2)log \|2cosx+sqrt(4cos^(2)x-1)\|+C`B. `-(1)/(3)log \|2cosx+sqrt(4cos^(2)x-1)\|+C`C. `-(1)/(6)log \|cosx+sqrt(2cos^(2)x-1)\|+C`D. None of these
Answer» Correct Answer - A Put ` cos x=t and sin x dx =-dt ,` then `I=-int(dt)/(sqrt(4t^(2)-1))=-(1)/(2)int (dt)/(sqrt(t^(2)-(1)/(4)))=-(1)/(2)log \|t+sqrt(t^(2)-(1)/(4))\|+C` `=-(1)/(2)log \|2t+sqrt(4t^(2)-1)\|+C=-(1)/(2) log\|2cos x+sqrt(4 cos^(2)x-1)\|+C.`

`int ((1+tanx))/((x-logcosx))dx.`
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
`int (x)/((x^(4)-16))dx=?`A. `(1)/(4)log |(x^(2)+4)/(x^(2)-4)+C`B. `(1)/(16)log |(x^(2)+4)/(x^(2)-4)+C`C. `(1)/(16)log |(x^(2)-4)/(x^(2)+4)+C`D. None of these
`int(x^(2))/(sqrt(x^(6)-1))dx=?`A. `(1)/(2) log |x^(3)+sqrt(x^(6)-1)|+C`B. `(1)/(3) log |x^(3)+sqrt(x^(6)-1)|+C`C. `(1)/(3) log |x^(3)-sqrt(x^(6)-1)|+C`D. None of these
Evaluate:`int(sinx)/(sqrt(4cos^2x-1))dx`A. `-(1)/(2)log |2cosx+sqrt(4cos^(2)x-1)|+C`B. `-(1)/(3)log |2cosx+sqrt(4cos^(2)x-1)|+C`C. `-(1)/(6)log |cosx+sqrt(2cos^(2)x-1)|+C`D. None of these
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