Q. 275.0( 1 Vote )

# Evaluate the following integrals as a limit of sums:

Answer :

We know,

where,

Let,

Here, f(x) = x

Now, By putting x = a in f(x) we get,

f(a) = a

Similarly, f(a + h) = a + h

In this series, a is getting added n times

Now take h common in remaining series

Put,

Since,

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