Question

Write the summation to estimate the area under the curve y=2+sqrt(x) from x = 2 to x = 5 using 3 rectangles and right endpoints.

~the summation from i equals 2 to 5 of the quantity 2 plus the square root of i

~the summation from i equals 2 to 4 of the quantity 2 plus the square root of i

~the summation from i equals 0 to 3 of the quantity 2 plus the square root of i (MY ANSWER)

~the summation from i equals 3 to 5 of the quantity 2 plus the square root of i

Answer 1

∫[2,5] 2+√x dx

Looks like the last one to me.

The three intervals are
[2,3],[3,4],[4,5]
The right endpoints are at 3,4,5, NOT 0,1,2,3

Answer 2

The square root of the quantity 4 multiplied by x plus 9 end of quantity equals the square root of the quantity 5 multiplied by x minus 2 end of quantity.