CBSE Class 12-science Answered
what is the sum of the series [x^2 +[x+dx]^2.........[x+n*dx]^2]
Asked by | 06 Sep, 2009, 10:14: AM
Expert Answer
x2 +(x+dx)2.........(x+ndx)2 = x2 + (x2+(dx)2 + 2dx) + (x2+(2dx)2 + 4dx) ...........................(x2+(ndx)2 + 2ndx)
= x2 + (x2+dx2+2dx)+ (x2+4dx2+4dx)+ ...................................(x2+(ndx)2 + 2ndx)
= (x2 +x2+ ....................n terms) + dx2 (1+4 + 9........)+ 2dx (1+2+3..........)
= nx2 + (dx2 (n)(n+1)(2n+1))/6 + 2dx (n(n+1)/2)
= nx2 + (dx2 (n)(n+1)(2n+1))/6 + dx (n(n+1)
Answered by | 08 Sep, 2009, 12:09: PM
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