Answer:
First of all you need to know the it's equal to 2 and
which is the number is between 1 and 2 and between that number there maybe the possibilities of above 0.5 or under 0.5
After that Figure out which one was bigger? or
? The answer is
and
also near to
so it should be above 0.5 .
So we know that is between 1 and 1.5.
Hopes that information was help you a lot
Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
where . Each interval has length
.
At these sampling points, the function takes on values of
We approximate the integral with the Riemann sum:
Recall that
so that the sum reduces to
Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:
Just to check:
