Which one of the following is TRUE. - Vidyadip

MCQ

Which one of the following is $TRUE.$

A
$x\,.\,\int {\frac{{dx}}{x}} \,\, = \,\,x\,\ln |x|\,\, + \,\,C\,$
✓
$x\,.\,\int {\frac{{dx}}{x}} \,\, = \,\,x\,\ln |x|\,\, + \,\,Cx\,$
C
$\frac{1}{{\cos x}}\,.\,\int {\cos \,x} \,\,\,dx\,\, = \,\,\tan x\, + \,C\,$
D
$\frac{1}{{\cos x}}\,.\,\int {\cos \,x} \,\,\,dx\,\, = \,x\, + \,C\,$

✓

Answer

Correct option: B.

$x\,.\,\int {\frac{{dx}}{x}} \,\, = \,\,x\,\ln |x|\,\, + \,\,Cx\,$

b
$x\,.\,\int {\frac{{dx}}{x}} \,\, = \,\,x\,(\ln |x|\,\, + \,\,C)$ $= x \,ln\, | x | + Cx$

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