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Mathematics 9 Online
OpenStudy (anonymous):

ques...

OpenStudy (anonymous):

|dw:1426329783172:dw| Area on the left side will be calculated as \[A= \int\limits_{-1}^{-2}(x+1)dx \] or\[A=\int\limits_{-2}^{-1}(x+1)dx\]

OpenStudy (anonymous):

|dw:1426329914309:dw|

OpenStudy (butterflydreamer):

well if you look at the left side. What are your domains? You even wrote it out on your diagram above.

OpenStudy (anonymous):

we are talking about the area of a function...whatever the integral function is, just integrate and take its modulus

OpenStudy (butterflydreamer):

it should be the second option bc i think the top number on the integral is usually the bigger number... so since -1 is bigger than -2 , -1 should be at the top and -2 on the bottom.

OpenStudy (anonymous):

ok thx

OpenStudy (butterflydreamer):

no problem :)!

OpenStudy (anonymous):

I actually did the ques and found out for left side you take limits right to left and for right you take left to right. So 1st option here

OpenStudy (butterflydreamer):

really? :O I always did it differently then..

OpenStudy (anonymous):

But as divu said, you can take whatever limits you want as you'll be doing mod of your answer as area is always positive

OpenStudy (butterflydreamer):

hmm interesting ^_^ Well you've taught me something new !

OpenStudy (anonymous):

\[\left| \int\limits\limits_{a}^{b}dx \right| = \left| -\int\limits\limits_{b}^{a}dx \right|\]

OpenStudy (butterflydreamer):

that's correct yaaahh.

OpenStudy (anonymous):

:)

OpenStudy (irishboy123):

if you try understand what is actually happening in the integration process, you will see that you always work left to right by convention. to illiustrate: |dw:1426333383259:dw|

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