Evaluate the following integrals as a limit of sums:
Formula used:
where,
Here, a = 3 and b = 5
Therefore,
Let,
Here, f(x) = 2 – x and a = 3
Now, By putting x = 3 in f(x) we get,
f(3) = 2 – 3 = -1
Similarly, f(3 + h)
= 2 – (3 + h)
= 2 – 3 – h
= -1 – h
In this series, -1 is getting added n times
Now take -h common in remaining series
Put,
Since,