integrate(sqrt(x^2+y^2),x,0,1)$ integrate(%,y,0,1)$

• Subject: integrate(sqrt(x^2+y^2),x,0,1)$ integrate(%,y,0,1)$
• From: Part Marty
• Date: Fri, 5 Apr 2013 23:44:30 +0900

Please teach me the modification method of the following formula.  integrate(sqrt(x^2+y^2),x,0,1)$
integrate(%,y,0,1)$ It leads to the following formula. 1/3*(sqrt(2)+log(sqrt(2)+1))   kill(all)$
algebraic:true$
lognegint:true$
assume(y>0)$
integrate(sqrt(x^2+y^2),x,0,1)$
integrate(%,y,0,1)$
logcontract(%); (%06)(log(-(sqrt(2)-1)/(sqrt(2)+1))+10*asinh(1)-%i*%pi+2^(7/2))/24 		 	   		  

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