Question

HEY I NEED HELP W AN AP CALC AB QUESTION ASAP

Answer 1

Answer:

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

$\Delta x=\frac{b-a}{n}$, then $\Delta x=\frac{3}{n}$ in the expression given.

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

$f(a+i\cdot \Delta x )=(2+ i \cdot \frac{3}{n} )$,

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

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