What is #f(x) = int 1/x # if #f(2)=1 #?
1 Answer
May 3, 2016
Explanation:
The derivative of
#lnx=1/x # hence the anti-derivative of
#1/x" is"lnx#
#rArrF(x)= int1/x dx=lnx+c# To find c , use f(2) = 1
ln2 + c = 1 → c = 1 - ln2
#rArr F(x)=lnx+1-ln2# using
#• lnx-lny=ln(x/y)"to simplify"#
#rArr int1/x dx= ln(x/2)+1#