`int (x+sin x)/(1+cos x)` is equal toA. `x tan (x)/(2)+c`B. `log (1+cos x)+c`C. `cot (x)/(2)+c`D. `log(x+sinx)+c`

`int (x+sin x)/(1+cos x)` is equal toA. `x tan (x)/(2)+c`B. `log (1+co

1.	`int (x+sin x)/(1+cos x)` is equal toA. `x tan (x)/(2)+c`B. `log (1+cos x)+c`C. `cot (x)/(2)+c`D. `log(x+sinx)+c`
Answer» Correct Answer - A Let `I=int (x+sin x)/(1+cosx)dx` `=int((x)/(2)sec^(2)""(x)/(2)+tan""(x)/(2))dx` `=x tan""(x)/(2)-inttan""(x)/(2)dx+inttan""(x)/(2)dx+c` `=x tan""(x)/(2)+c`

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`int (x+sin x)/(1+cos x)` is equal toA. `x tan (x)/(2)+c`B. `log (1+cos x)+c`C. `cot (x)/(2)+c`D. `log(x+sinx)+c`

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