Q. 125.0( 1 Vote )

# Evaluate the following integrals as a limit of sums:

Formula used:

where,

Here, a = 0 and b = 2

Therefore,

Let,

Here, f(x) = x2 + 4 and a = 0

Now, by putting x = 0 in f(x) we get,

f(0) = 02 + 4 = 0 + 4 = 4

f(h)

= (h)2 + 4

= h2 + 4

Similarly, f(2h)

= (2h)2 + 4

In this series, 4 is getting added n times

Now take h2 common in remaining series

Put,

Since,

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