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Let x2 = t,     Limit value  x = [ 1 , 4 ]  => t = [ 1 , 16 ] 

And  2x dx = dt

=>  2dx / x = dt / x2 = dt /  t.

   ∫ (2 esinx^2 / x) dx

= ∫  (esin t ) / t dt 

= ∫ F ' ( t) dt                      // d/dx [f(x)] = esinx / x , x > 0

= [F(t) ]116

= F(16 ) - F(1) 

Ans - k= 16. 

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