The following definite integral has a known value of say 23.
Without knowing h(t), is it possible to determine the value of the following:
No, it's not possible. Consider for example two examples for h(t):
1. If , then you have
2. Now consider :
which is the same value as before. But
which is different than before. Hence simply knowing that is not enough information to know the value of .
Thank you ebaines, Good way to explain it and prove to someone.
Thanks Richard, Are you pretty certain integration by parts won't work?
Instead of having and
What if my known value was .
Could I then calculate:
Thanks for the help. It's been over 20 years since I did much calculus, and I am a bit rusty.