Question

Estimate (using right endpoints) the given integral?

Estimate (using right endpoints) the given integral `int_a^bf(x)dx` by using a Reiman Sum?

`int_1^3dx/x`

Answer 1

Need more information.

Explanation:

To use Reimann sums to approximate an integral you need an interval/step size, and then to evaluate either the left, middle, or right of that interval using the derivative.

For this you would probably be using an interval of size 1/2, though it may be different depending on what the problem requests.

Interval size of 1/2 from 1 -> 3 results in 4 intervals: (1,1.5) (1.5,2) (2,2.5) (2.5,3)

Since you are doing a right sum evaluate 1.5, 2, 2.5, and 3.
`f(1.5)=2/3 & f(2)=1/2 & f(2.5)=2/5&f(3)=1/3`
Multiple these values by the interval length (1/2) to find the estimated area of each interval, resulting in 1/3, 1/4, 1/5, and 1/6. Then sum all of these values up to get your answer, which would be 19/20 using a step size of 1/2.