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Ask iit jee aieee pet cbse icse state board experts Expert Question: definite integral
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ann (0)

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sir,
1) how to find  [0 ] ò[e ] loget/(1+t)dt ?  
2)if
                 [Ö2]ò[x ]dx/(x Ö(x2-1)) =P/2,   then x=?
               sir, isn't it -Ö2 , but the options were-
       a) Ö3/2
       b)2
       c)2Ö2
       d)1/2 
    
Arjun (812)

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yup....da answer is - square rt odf 2.......so da opions wer wrong............

don worry..........

cheers

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vinod (1433)

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EDITED

Science is vision multiplied!



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vinod (1433)

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Here is the answer for the second question of ann .
 
 
 
img382/6208/integ3ax6.jpg  
 
 
 

Science is vision multiplied!



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Moderator (149)

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Dear Ann,

Please ask one ques. at a time for the experts to answer.

Cheers :)
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nik_d_1 (177)

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Hey VINOD 
    
         logxdx = xlogx -x


u did it rite in d ans though......




RATE IF M HELPFUL!!!!!
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vinod (1433)

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sory writing mistake !!! I have edited it now !!!

Science is vision multiplied!



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harshiiit (65)

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u are asking the question that came in aieee 2007

it is given that
F(x)=f(x)+f(1/x)
differentiating the eqn v get
F'(x)=f'(x) - f'(1/x)
and f'(x)=logx/1+x
put and u will get F'(x)=logx/x
and f(1)=0
therefore F(x)=logx^2/2
and
F(e)=1/2

in ma exam i did everything correct until f(1)=0
and then a blunder
i took F(x)=logx and lost 4 marks................................



<DIV ALIGN="right">Animated Letters</DIV></TD></TR></TABLE>
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avinash.sharma (1189)

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Hello friends,
 
vinod has solved second query correctly and harshiiit way to solve the first query is right. vinod why you have converted sec(3/4) into 1/cos(3/4). You can directly use the properties as
 
sec(3/4) = sec (/2 + /4) = - Cosec/4 = - 2
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vinod (1433)

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No sir, i actually wanted to be a bit more clear ! i mean i am aware abt that property, but just used only sin and cos !
 
Thank u sir.

Science is vision multiplied!



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