Difference between revisions of "Multivariate Calculus 10B, Problem 1"

Revision as of 02:32, 7 February 2016

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

@@ Line 6: / Line 6: @@
 '''a'''
- :: <span class="line"><math>/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);</math>