1.

Evaluate :∫dx/1+x2  for x→[1,√3]

Answer»

I = ∫ (1+logx)2 /x dx

Let 1 + log x = z

1/x dx = dz => I = ∫z2dz

= Z3 / 3 +C =1/3(1 + logx)3 + c



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