Multivariate Calculus 10B, Problem 1

Calculate the following integrals

a) $\int _{0}^{1}\int _{y}^{1}e^{\frac {y}{x}}~dxdy$

b) $\int _{0}^{1}\int _{0}^{cos^{-1}(y)}e^{2x-y}~dxdy$

solution:

a

\draw [thick] (-2,2) % Draws a line
     to [out=10,in=190] (2,2)
     to [out=10,in=90] (6,0) 
     to [out=-90,in=30] (-2,-2);