Geometrical Interpretation

Q.

Integration of an integrable function f(x) gives a family of curves which differ by a constant value.

1. True

2. False

Q. Among the given options, for what value of $dx$ will the area under the curve be most precise to the true value

1. 
   $dx=1$
2. 
   $dx=0.1$
3. 
   $dx=0.01$
4. 
   $dx=0.001$