Evaluate the integral \(\int_3^7(1/(x-2)\,dx=?\)

log(5)  log(7)  log(2) 0

log(5)

We have integral  \(\int_3^7(1/(x-2)\,dx=?\) \(\int_3^7(1/(x-2)\,dx= {log(x-2)})\) for x=3 to x= 7                             =-{log(7-2)- log(3-2)}                             = log(5)- log(1)                             =  log(5)- 0                             = log(5)