# Thread: With these two equations how would I get the a and b values ? for integration .

1. ## With these two equations how would I get the a and b values ? for integration .

y = x(x − 1),
y = 1 − x

Find the finite area between thefollowing curve:
y = x(x − 1), y = 1 − x

to find the a and b values to integrate ...I know I should do x(x-1)=1-x
so is it x^2+X-2=0
then (x+1)(x-1)=0

is that right then i can just integrate
$$\int_{-1}^{1} x(x-1)-1-x dx$$

2. ## Re: With these two equations how would I get the a and b values ? for integration .

$\displaystyle \int_{-1}^1 (1-x)-[x(x-1)] \, dx$

the line is above the parabola ...

3. ## Re: With these two equations how would I get the a and b values ? for integration .

Originally Posted by bee77
y = x(x − 1),
y = 1 − x

Find the finite area between thefollowing curve:
y = x(x − 1), y = 1 − x

to find the a and b values to integrate ...I know I should do x(x-1)=1-x
so is it x^2+X-2=0
then (x+1)(x-1)=0

is that right then i can just integrate
$$\int_{-1}^{1} x(x-1)-1-x dx$$
Yes, your limits of integration are correct. But, as skeeter pointed out, you have the two functions reversed. I want to point out that, you also have a sign wrong. If that were the right order, it should be $\displaystyle \int_{-1}^1 x(x-1)- (1- x) dx= \int_{-1}^1 x(x- 1)- 1+ x dx$.

4. ## Re: With these two equations how would I get the a and b values ? for integration .

woops oh thanks ,,
cheers

5. ## Re: With these two equations how would I get the a and b values ? for integration .

Thanks skeeter