Use limits to evaluate the integral.

Split up the interval [0, 2] into n 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 n approaches infinity, and the Riemann sum converges to the value of the integral:

Just to check:

step-by-step explanation:

savings account is an account only used for saving money. this acts as an emergency source of funding for an individual. answer a would result in the money in his account to grow as it specifically states that interest is compounded daily at the rate of 2%

step-by-step explanation: