The integral \(\smallint cos\left( {lo{g_e}x} \right)dx\) is equal to (where C is a constant of integration)

x[cos (loge x) + sin (loge x)] + C

\(\frac{x}{2}\left[ {cos\left( {lo{g_e}x} \right) + sin\left( {lo{g_e}x} \right)} \right] + C\)

x[cos (loge x) – sin (loge x)] + C

\(\frac{x}{2}\left[ {sin\left( {lo{g_e}x} \right) - cos\left( {lo{g_e}x} \right)} \right] + C\)

The integral \(\smallint cos\left( {lo{g_e}x} \right)dx\) is equal t

1.	The integral \(\smallint cos\left( {lo{g_e}x} \right)dx\) is equal to (where C is a constant of integration)
A.	\(\frac{x}{2}\left[ {cos\left( {lo{g_e}x} \right) + sin\left( {lo{g_e}x} \right)} \right] + C\)
B.	x[cos (loge x) + sin (loge x)] + C
C.	x[cos (loge x) – sin (loge x)] + C
D.	\(\frac{x}{2}\left[ {sin\left( {lo{g_e}x} \right) - cos\left( {lo{g_e}x} \right)} \right] + C\)
Answer» B. x[cos (loge x) + sin (loge x)] + C