Arc length parametrization (from my exam)

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[a)]picture of exam question (txt in Serbian)1]I have 2 long problem, and i must to solve this for exam from calculs 4:

a)How to finde arc length of this function with vector- parametric rep. s(t)=sqrt(t,sqrt(t),e^t), where t is from 1 to 3. I' stack , i know l=int(√(t'²+(√t')²+(e^2t)'²) from 1 to 3 ,but how compute this integral

b) and how to find surface of surface def. with: {x^2+y^2+z^2=a^2

x^2+y^2=ay}

I try, but... b)