What is the sum of the digits of 2^1000
check my algoriathm, let y=2^1000 then logy = 1000log2 = 301 and y=10^logy=10^301
since (1,0) r da only digits of 10^n 4all n=1,2,3,4,... The sum of digits equals 1 , but it is not the answer ...Why?
"inte[x=a to b] [y=c to d] f(x,y) dxdy = inte[r=sqrt(a^2+c^2) to r =sqrt(b^2+d^2)] [ß=arctan(c/a) to arctan(d/b)] f(rcosß,rsinß) rdrdß "
is this expression currect ?
How can i find the new limits of integration when change of variables are done to a double integral ,without graphing the function. ? Some one please reply