Question

Let f(x)=x^3-2x+1,g(x)=-2x and x=1
Find the area between the bounded regions

Answer 1

How can u attach a picture ?

Answer 2

first find the point of intersection (set the two functions equal solve for x)

x^3-2x+1=-2x
x^3+1=0

(x+1)(x^2-x+1)=0
x+1=0
(x^2-x+1)=0
x=-1
(neglect the two imaginary roots given by (x^2-x+1)=0)

area is given by

\[\Large \int\limits_{-1}^{1}(x^3-2x+1+2x)dx\]

Answer 3

Then you do integration for the numbers and that's the answer ?

Answer 4

yes .

Answer 5

Ok let me work it out and ill get back to you
Thanks

Answer 6

yw !

Answer 7

Is the smallest number always a on the integral?

Answer 8

Which line is the one on top? X^3-2x+1 or -2x

Answer 9

the x^3-2x+1 is on the top.

Answer 10

O got 1/2 for my answer is it correct ?

Answer 11

I *