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