I am fairly new to this so...

assuming the form (from the reference in back of book)

would be the way to solve the rest of it

but don't seem to get the answer of

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- Jun 28th 2010, 04:29 PMbigwaveintergral by interpreting it in terms of areasI am fairly new to this so...

assuming the form (from the reference in back of book)

would be the way to solve the rest of it

but don't seem to get the answer of - Jun 28th 2010, 04:34 PMmr fantastic
- Jun 28th 2010, 04:45 PMbigwave
so I am using the right form just have to carefull what I do with it... i will repost after i go thru this again.

- Jun 28th 2010, 04:57 PMmr fantastic
- Jun 28th 2010, 07:49 PMbigwavethink I plugged in the right values finally
- Jun 28th 2010, 08:56 PMmr fantastic
etc.

Sorry, but this working does not make a lot of sense to me. I expected to see an somewhere .... I also suggest you put brackets around negative numbers when squaring them (-3^2 is likely to be confused with -9 ....) Note also that the arbitrary constant is not required when finding definite integrals. - Jun 29th 2010, 07:07 AMHallsofIvy
mr fantastic is answering the question you

**asked**but it is the wrong question! You appear to have completely misunderstood this problem.

You titled this thread "Integral by interpreting it in terms of area" and you have made no attempt to that. The point of this problem is NOT to do any integration at all!

If , then , or . That's a circle with center at (0, 1) and radius 3. Because the original equation used only the positive square root, so we really have the upper half disk. Finally, because the integral is from x=-3 to 0, while the entire circle goes from x=-3 to x= +3, this integral is really the area of a**quarter circle**plus the rectangular section between that and the x-axis.

What is the area of a circle of radius 3? What is the area of a quarter of that circle? What is the area of a rectangle of length 3 and height 1? What is the sum of those two areas? - Jun 29th 2010, 11:19 AMbigwave
thanks everyone for your help... just new to all this...