Wednesday, 14 September 2016

calculus - How to compute the integral intiinftynftyex2,dx?




How to compute the integral ex2dx using polar coordinates?


Answer



Hint: Let I=ex2dx. Then I2=(ex2dx)(ey2dy)=ex2ey2dxdy=e(x2+y2)dxdy. Now switch to polar coordinates.


No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...