Question

`int (cot(logx))/x "d"x` = ______.

पर्याय

• `(sin(log x))/cosx + "c"`

• `log |tan (log x)| + "c"`

• `log |cos (log x)| + "c"`

• `log |sin (log x)| + "c"`

Answer 1

`int (cot(logx))/x "d"x` = `log |sin (log x)| + "c"`.

Explanation:

Put log x = t

⇒ `1/x "d"x` = dt

∴ `int (cot(logx))/x "d"x = int cot "t"  "dt"`

= `log |sin "t"| + "c"`

= `log |sin(log x)| + "c"`