Evaluate the following integrals as a limit of sums:


Formula used:
![]()
where,
![]()
![]()

![]()
![]()
Let,

Here, f(x) = cos x and a = 0
![]()
![]()
Now, by putting x = 0 in f(x) we get,
f(0) = cos 0
f(h)
= cos h
Similarly, f(2h)
= cos 2h
![]()
We know,

Here A = 0 and B = h
Therefore,


![]()




![]()

![]()

![]()

![]()
![]()
![]()
![]()

AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.


