Hi,
I am unsure how to differentiate an integral. The specific problem I am working on at the moment is:
s is a dummy variable used to represent T. The solution to this is
...but I am unsure why we would get this.
Thanks in advance.
Peter
Hi,
I am unsure how to differentiate an integral. The specific problem I am working on at the moment is:
s is a dummy variable used to represent T. The solution to this is
...but I am unsure why we would get this.
Thanks in advance.
Peter
That's the first fundamental theorem of calculus: Fundamental theorem of calculus - Wikipedia, the free encyclopedia
If there's anything you should ever remember from calculus, it's this theorem.
Hi !
Let . Let be an antiderivative of .
By definition of the integral (I think you call it "fundamental theorem of calculus"), we have :
.
Now,
Assuming that t is not a function of T, we can thus consider that is a constant with respect to T. Hence
But the derivative of is . We can then say that