MathProblemsBank

I.4.44 Curvilinear Integrals

Condition: Find the mass of the arc by a homogeneous spatial curve: \ [y = a \ cdot \ sin ^{-1} \ frac {x} {a}, \ quad z = \ frac {a} \ ln \ frac {a+x} \] from the point \ (o (0; 0; 0) \) to the point \ (a \ left (\ frac {a \ pi} {6}, \ frac {a} {4} \ ln \ frac {1}, \ frac {a} {2} \ right) \).