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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: integration doubt
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maheshkurupu (31)

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I=            1 + cos2 t
                    x .f { x (2-x) } dx
          sin2 t
 
 
I2 =              1 + cos2 t
                    f { x (2-x) } dx
          sin2 t
 
find  I1/I2
 

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<TR><TD>


<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
    
digs2digi (162)

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is the answer 2???????????
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maheshkurupu (31)

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i think its 1

<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>


<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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digs2digi (162)

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ya got it.its 1.
see apply the law :integral from a to b f(x) = integral from a to b f(a+b-x) in I1.it will cum equal to I2
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hash_include (381)

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yeah.. you'll get
I1 = 2I2 - I
after applying f(x) = f(a+b-x)

I1 = I2

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karthik2007 (3399)

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Will nip in at times to solve problems :)
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karthik2007 (3399)

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edit - the term inside the I2 integral must be f(2-x) and not x-2, its a typo.

Will nip in at times to solve problems :)
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