What is the limitation of double integration method?

Analysis of Options:

1. Used only for single load:  
   This is incorrect. The method can technically handle multiple loads, but it becomes cumbersome because each load change requires a new moment equation and integration steps. It's not restricted to single loads, but impractical for complex loading.

2. Used only for double load:  
   Incorrect. The method doesn’t inherently limit the number of loads; the term "double" refers to integrating twice, not the number of loads.

3. For finding slope & deflection is very laborious:  
   Correct. The method requires writing separate equations for each beam segment, integrating twice, solving for constants using boundary conditions, and managing discontinuities. This makes it time-consuming and error-prone for beams with multiple loads or varying sections.Key Points
The primary drawback is option 3: the method is computationally intensive for beams with complex loading or geometry. Modern methods like Macaulay’s or moment-area are preferred for such cases.