Math Help - multiple integrals 2

1. multiple integrals 2

find the areas lying between the curves y=lnx and y=ln x^2 and the line x=e in the first quadrant using multiple integrals

can yu tell me the answer of the problem

i have taken the limits of integration as 0<=x<=e and ln x<=y<=2lnx

is it right or wrong

2. Re: multiple integrals 2

Originally Posted by prasum
find the areas lying between the curves y=lnx and y=ln x^2 and the line x=e in the first quadrant using multiple integrals i have taken the limits of integration as 0<=x<=e and ln x<=y<=2lnx is it right or wrong
It should be (first quadrant): $A=\displaystyle\iint_Ddxdy=\int_1^edx\int_{\ln x}^{2\ln x}dy=\ldots$