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

:: $/draw[thick](-2,2)\%Drawsalineto[out=10,in=190](2,2)to[out=10,in=90](6,0)to[out=-90,in=30](-2,-2);$