Question

DEFINITE INTEGRAL

Answer 1

evaluate the definitie integral \[\int\limits_{2}^{-1} (3-2x^2) dx\]

Answer 2

a) by using the Riemann sum
b) by using the fundemental theorem of calculous (definite integrals)

Answer 3

I don't understand how to do this at all so can someone please explain

Answer 4

does it matter which riemann sum you use?

Answer 5

I don't believe so

Answer 6

I don't undertstand what the heck x^* i is

Answer 7

I'm not sure what to explain

Answer 8

I don't understand where the i comes from in the equation or what x subscript i is

Answer 9

Do you understand the fundamental concept of integrals, which are evaluations of area?

Answer 10

I guess I just don't understand the terms and where they come from in Riemanns sum
I understand that they are for evauluating area but I don't understand the equations given

Answer 11

the equations aren't very important; the subscript i denotes the "interval". I can understand where you're coming from. Sometimes the formulas seem unnecessary. It's like the difference quotient, though: you stop using it once you have a firm footing for an understanding of where integrals came from

Answer 12

does it matter wich riemann sum you use?

Answer 13

\[\sum_{i=1}^{n} \left[ (2--1)\div n \right] \left[ 3-2x^2) \right]\]

Answer 14

Would that be it????

Answer 15

am I a little bit close 3: