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 Discussion Forums -> This Post 10 points    (2    in 2 votes )   [?]

$\int_0^{\infty}\frac{dx}{e^x.e+\frac{e^3}{e^x}} \\ = \frac{1}{e}\int_0^{\infty}\frac{e^xdx}{e^{2x}+e^2} \\ \text{Let t=}e^x \Longrightarrow dt=e^xdx \\ \text{Changing the limits accordingly,we get} \\ \frac{1}{e}\int_e^{\infty}\frac{dt}{t^2+e^2} \\ = \frac{1}{e^2}arc tan(\frac{t}{e})|_e^{\infty} \\ = \frac{\pi}{4e^2}$

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

take  AP  as 1,2,3,4,...............     and susbstitute.  lolz

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Since the circle is circumscribing the rectangle,the vertices of the rectangle lie on the circle.

We can consider the general eqn of circle and sub the given vertices ,Also the centre lies

on the given line.Sub the centre (-g,-f).Now solve for  g and f.After g and f are found,we can

take the centre as the midpoint and and find the diametrically opposite ends of the given

vertices.By this we can get the remaining 2 vertices,Now,its easy to find area !

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]
$lim_{x\to0}\frac{(1+tan^{-1}3x)^{-3}-(1+sin^{-1}3x)^{-3}}{(1+sin^{-1}2x)^{-2}-(1+tan^{-1}2x)^{-2}}$
 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

### Conversion of cyclohexene to cyclohexanol can be conveniently achieved by a)NaOH-H2Ob)Br2-H2Oc)Hydroboration oxidationd)Hydroboration hydrolysis

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

### Find the area bounded by the curves x2+y2=4,   y=x2+x+1,y=[sin2(x/4)+cos(x/4)] and the x-axis,where [.] denotes greatest integer function

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 Discussion Forums -> This Post 5 points    (1    in 1 votes )   [?]

### Similarly,other terms can be changed and we get the sum to be zero,Therefore,S=0,P=0

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Which of the following reagents can be used to distinguish chlorobenzene from chloro cyclohexane
a)AgNO3/C2H5OH
b)Ag(NH3)2OH
c)Na fusion,HNO3,AgNO3
d)Br2/CCl

 Discussion Forums -> This Post 9 points    (1    in 3 votes )   [?]

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

@Ultimator,What do you mean by """" substances like alcohols with -OH group at the second position"""" in this case???

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]
well,c) is correct for the first one,but pls explain it!!!
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### Colours in complexes are decided by the constituents of the coordination sphere, right? So why do K4[Fe(CN)6](colourless) and Cu2[Fe(CN)6](chocolate brown) differ in colour though coordination sphere is intact?

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Re:Integration
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If y(x)=  then the value of dy/dx at x= is

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

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