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Let S (x) = int(x^2) ^(x^3) (lnt) dt (x&...

Let `S (x) = int_(x^2) ^(x^3) (lnt) dt (x>0)` and `H(x) = (S'(x)) / x`. Then `H(x)` is (i) continuous and not derivable in it's domain (ii) continuous and derivable in it's domain (iii) Neither continuous and nor derivable in it's domain (iv) Not continuous and is derivable in it's domain

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