- #1

chwala

Gold Member

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- Homework Statement:
- Kindly see attached

- Relevant Equations:
- A=##\int_a^b f(y)\,dy##

I was looking at the problem below in detail, attached find the problem and the mark scheme solution.

Now this was my approach which is just similar to the Mark Scheme method ##2## above where they expressed ##x=f(y)##...

I did it this way;

...There was some work involved particularly in expressing ##x=f(y)##...then on the integrating part of

A=8##\int_1^3 (1.5-0.5y)^{0.5}\,dy##

one had to let ##u=1.5-0.5y## to realize ##du=-0.5dy## then proceed from there...##A_{1}=\frac {32} {3}##, and ##A_{2}=4## bingo!

Now this was my approach which is just similar to the Mark Scheme method ##2## above where they expressed ##x=f(y)##...

I did it this way;

...There was some work involved particularly in expressing ##x=f(y)##...then on the integrating part of

A=8##\int_1^3 (1.5-0.5y)^{0.5}\,dy##

one had to let ##u=1.5-0.5y## to realize ##du=-0.5dy## then proceed from there...##A_{1}=\frac {32} {3}##, and ##A_{2}=4## bingo!

Last edited: