Question

find the exact area between y=ln(x) and y=ln(x^2) for 1<= x <= 2

Answer 1

i will guess
\[\int_1^22\ln(x)-\ln(x)dx=\int_1^2\ln(x)dx\]

Answer 2

anti derivative is
\[x\ln(x)-x\] evaluate at 2 and 1 and subtract