Question

Find the area of the region that is surrounded by the curves \(y = -3 + 11 x - x^2\) and \(y = -3 + 4 x\)

Answer 1

ANyone?

Answer 2

yeah, do you have preference for any integral methods ? like Single Variable integrals or do you want to use double integrals.

both ways you get the same answer

Answer 3

um... whatever is easier

Answer 4

well both are easy ways, but it depends on you, are you familiiar with double integrals

Answer 5

Um not really I dont really know where to star just do wht we would learn in a second calsulus class

Answer 6

you can use Area = \[\int\limits_{a}^{b}\int\limits_{y=f(x)}^{y=g(x)}\] dA

Answer 7

where dA= dy dx , integrating with respect to y first and then with respect to x

Answer 8

You lost me

Answer 9

to find values of a and b , you will need to have
-3+4x=-3+11x-x^2

Answer 10

solve for values of x and that should give you the bounds of integral, i.e. lower limit and and upperlimit

Answer 11

does that help?

Answer 12

Can you draw a picture?

Answer 13

graphing is not easy, I mean it takes lot of space here

Answer 14

ohh okay I thought I cold solve it using integrals and no pics?

Answer 15

Yikes that's alot to read