Determine the slope and deflection at any distance x from the left end of the beam by the method of integration, the maximum slope, and maximum deflection.The correct answers are the boxed text in the image.

The greatest deflection that is permissible in a structural element subject to external loading is constrained by the serviceability standards.
A structure's aesthetics can also be damaged by excessive deflection, which may make occupants uncomfortable. The maximum permitted deflection for dead loads and stacked live loads is provided by the majority of codes and standards.
The structural component is typically assessed for deflection, and the determined maximum deflection value is compared with the stated values in the codes and standards of practice, to make that the possible maximum deflection that could occur under a given loading is within an acceptable value.
A beam or frame's deflection can be calculated using a variety of techniques. Depending on the loading and the problem being solved, a certain solution will be chosen. The moment-area method, unit-load method, virtual work method, and energy techniques are a few of the methods utilised in this chapter. Other methods include the double integration method, singularity function method, singularity method, method of moment, and method of unit load.

To Learn more About direct integration refer to:

https://brainly.com/question/26568631

#SPJ4