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			*Image* find *Image* (prctc) 2. *Image* ... 
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			Two piers A and B are located on a river ,one kilometer apart.TWO men must make round trips from pier A to pier B and return . one man is to row a boat at velocity of 4km/ hr relative to the water .and other man is to walk on ... 
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			\sum_{n= 1}^{n=\infty }{}\frac{1}{\left\{(2n- 1 )^2- ( 2m ) ^2 \right\}^2} 2. \sum_{n=1}^{n= \infty}{\frac{1}{n( 36n^2-1)}} 3. \sum_{n=1}^{n= \infty}{\frac{1}{n( 9n^2-1)}} ... 
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			\texttt{find the domain of } \sqrt{2\left\{x \right\}^2 -3\left\{x \right\}+1} where {x} is fractional part dbt 2.given \left[x \right]+ \left[x+\frac{1}{n} \right]+ \left[x+ \frac{2}{n} \right]+...\left[x+ \frac{n-1}{n} \rig ... 
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			i am a starter in physical chemistry is arihant objective approach towards physical chemistry a better book or sholud i buy standard physical chemistry book??? plz help ... 
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			an electron with a speed of 1.2 .10^7 m/s moves horizontally into a region where a constant vertical force of 4.5 . 10 -16N acts on it mass of electron is 9.11 . 10-31 kg find vertical distance electron is deflected durin tim ... 
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			prove that for all real x , y the value of x^2 + 2xy + 3y^2 -6x-2y cannot be less than -11 ( edited ) 2. solve ( x- 3 )^5 + ( x-1 )^5\geq 244 for prctc ... 
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			*Image* FOR PRACTICE ... 
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			find the domain of the function f ( x) = \sqrt{log _{\phi (x) } g(x)} where g(x) = \mid sinx\mid + sinx & \phi (x) = sinx + cos x where 0≤ x ≤π ... 
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			** edited ******* ... 
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			hello every one in targetiit taking some hint from PrItIsH Da i thot of startin an thread for integration ( similar kind of prctc was folowed at mathlinks too) will post integrals myself and d person who answers the integral  ... 
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			*Image* ... 
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			1.evaluate *Image* far practize ... 
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			*Image* ans - 1 . π/4 - 1/2 log 2 far practize ... 
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			1. *Image* ... 
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			OUTLINE ALL STEPS INVLOVED IN SYNTHESIS OF HC *Image* C- CHO FROM ACROLEIN ... 
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			*Image* 2. *Image* 3. *Image* integrate w.r.t . alpha( α) thnks gov bhai FAR PRAACTIZE ... 
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			*Image* for PRACTICE ... 
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			here goes my doubt i read it in arihant according to complex numbers *Image* *Image* *Image* now consider *Image* *Image* please explain last two steps ... 
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			\int \frac{t. ( 1- t ^2 ) ^{\frac{-7}{4}}}{ \sqrt{t + 4 }.\sqrt{1- t^2 }+ \sqrt{t+ 5 }.\sqrt{1- t^2}} ... 
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			\int_{0}^{1} \left(1- x^2 \right)^{\frac{5}{2}} ... 
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			HELLO EVERYONE HERE AT TARGETIIT !!! I JUST WANT TO CLEAR ONE DOUBT " WHY DO THE EXPERTS DO NOT REPLY TO REQUESTS WHICH ARE RENDERED IN OPEN CHAT -BOX OR THEIR PERSONAL CHAT BOX " IS THERE ANY OTHER WAY TO CONTACT THEM !!!! P ... 
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			\int \frac{\sqrt{x^2 + 1}\left\{log( x^2 + 1 ) - 2log x \right\}.dx}{x^ 4} ... 
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			Determine as many solutions as you can to each of the following functional equations: 1.f(x) f(x + 1) = f(2 x + 1) 2. f(x) f(x + 1) = f[f(x) + x] ... 
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			\int \frac{\sqrt{x}dx }{1- x} another for practice 2. \int_{0}^{\frac{\pi }{2}}{ \frac{sinx cosx dx }{ cos^2x + 3cosx + 2}} ... 
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			an emf of V = 150 cos 377t is applied to a pure resistor of resistance 50 Ω . what is frequency of power variation ... 
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			1. \int \frac{x^2}{\sqrt{1- x^2}} 2. \int \frac{x^3}{\sqrt{1- x^2}} 3 . \int \frac{dx}{( x^2 + 1 ) ^2 } = \frac{A}{148}\tan^{-1} x +\frac{x}{2(x^2 + 1)} find value of A 4 . \int \frac{(1+ logx )dx}{\sqrt{x^{2x}-1}} for practi ... 
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			an aluminium wire and tungsten wire are of same length and diameter at 0 C . at what temp .does aluminium wire have a same resistance as tungsten at 20 C . given Ïw = (5.6 ). 10 -8 Ω m Ïal = (2 . 8 )10 -8 Ω m αw = 4.5 .1 ... 
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			x \int \frac{\sqrt{2sin ( x ^ 2-1 ) - sin 2( x^2 -1 )}}{ \sqrt{2sin ( x^2 -1)+ sin2 ( x^2 -1 )} }where x^2 -1 \neq n\pi ans is log \mid \left( sec \frac{ x^2 -1 }{2} \right) \mid + c for practice ... 
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			evaluate !!!!!!!!!!!!!! 1. \int \frac{3x ^2 - 7 dx}{ (x^2 -4) ( x^2 + 1 ) } 2 . \int \frac{ dx}{ x.\sqrt{x^6 + 1} } 3. \int \frac{ \sqrt{x} dx}{(1+ x^2)^{\frac{7}{4}}} just practice problems [1] ...