help-limits and continuity

Question

 

Answer 1

1)

Distance traveled by the object is , where is in meters and is in seconds.

Average velocity of the object between   and is defined as .

Determine the average velocity of the object between and .

Average velocity of the object between and seconds is m/sec.

Solution:

Average velocity of the object between and seconds is m/sec.

Answer 2

Hi there!
I received the next task recently. I can't create a new topic on the forum, so I decided to write here.
Find the value of the constant C for which the integral converges. Evaluate the integral for this value of C.
I will be incredibly grateful for your help with the decision.