ques...
|dw:1426329783172:dw| Area on the left side will be calculated as \[A= \int\limits_{-1}^{-2}(x+1)dx \] or\[A=\int\limits_{-2}^{-1}(x+1)dx\]
|dw:1426329914309:dw|
well if you look at the left side. What are your domains? You even wrote it out on your diagram above.
we are talking about the area of a function...whatever the integral function is, just integrate and take its modulus
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.
ok thx
no problem :)!
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
really? :O I always did it differently then..
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
hmm interesting ^_^ Well you've taught me something new !
\[\left| \int\limits\limits_{a}^{b}dx \right| = \left| -\int\limits\limits_{b}^{a}dx \right|\]
that's correct yaaahh.
:)
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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