Question

HEY I NEED HELP W AN AP CALC AB QUESTION ASAP

Answer 1

Step-by-step explanation:

So the limit of the sum of that function was equal to 21/2 (work attached).

Now after solving the other integrals, we get the first is equal to 8 after solving, the second is equal to 39/2, the third is equal to 25/2, and the last one is equal to 21/2 (our answer). So
`\int\limits^5_2 {(x)} \, dx` is our answer.

Answer 2

Answer: The answer is option 4.
`\int\limits^2_5 {x} \, dx`

Explanation: It comes from simple observation. We get from the expression that

`\Delta x=(b-a)/(n)`, then
`\Delta x=(3)/(n)` in the expression given.

From that we get how much is, i.e., b-a = 3, and also

`f(a+i\cdot \Delta x )=(2+ i \cdot (3)/(n) )`,

which shows us that the function is
`f(x)=x\\` and the initial value a=2,

the only option from the possibilities that fulfills all of it is the option number 4, that is

`\int\limits^2_5 {x} \, dx`