# Area bounded by curves

Printable View

• Oct 11th 2008, 06:32 AM
maybeline9216
Area bounded by curves
Please do part(ii).My answer is 5.61% but the paper's answer is 5.31%.
Please check for me thanks...
• Oct 11th 2008, 07:02 AM
skeeter
I get 5.31%
• Oct 11th 2008, 07:06 AM
maybeline9216
Can tell me how u get? Like: what is your value for the shaded and unshaded area respectively, area of region OAPB, coords.of B AND Coords.of Q

I want to see where my workings and answer differ...
• Oct 11th 2008, 07:40 AM
skeeter
show me what you did ... maybe i can see your mistake.
• Oct 11th 2008, 07:51 AM
maybeline9216
Quote:

Originally Posted by skeeter
show me what you did ... maybe i can see your mistake.

Please look at my qn 11 workings.Thanks:D
• Oct 11th 2008, 01:27 PM
skeeter
let $\displaystyle f(x) = e^x$
$\displaystyle g(x) = 4 - e^x$
$\displaystyle h(x) = 2(x - \ln{2}) + 2$

$\displaystyle A = \int_0^{\ln{2}} f(x) \, dx + \int_{\ln{2}}^{\ln{4}} g(x) \, dx$

$\displaystyle B = \int_0^{\ln{2}} f(x) - h(x) \, dx$

calculate $\displaystyle \frac{B}{A}$.
• Oct 11th 2008, 07:51 PM
maybeline9216
Thanks i found my mistake already..i forgot to add the unshaded area into the calculation of the area of the whole plot