applying integration by parts we get

   where y =root over x

correct if i am wrong!!

=

correct if iam wrong!

**** hey i forgot to write dx in its place jst see it

The structural features which influences the chemical reactions due to bulky substituents is known as stearic effect.         When the bulkier groups hinder the reaction it is called stearic hindrance wich may be due to 1) the sheer bulk of the substituents causing the approach of the reagent more difficult or may be due to 2) electronic factor i e., promoting or inhabiting the electron availabilityat a particular site!!  eg:- carboxylic groups with highly substituted alpha carbon are esterified with difficulty due to steric effect.

hey this is another method:



since here discriminant is greater than zero and x^2 coeff is less than zero



use the method



I = [1/root(-a )*{ sin^-1 (-d/dx (lx^2+mx+n)/root over discriminant]}







where l=-1



m=(a+b)



n=-ab

Re:solvethe given eqn can be written as

cosx / (sinxcosx+1) dx

=2cosx/ sin2x+2 dx

=cosx+sinx / 2+sin2x dx   +cosx-sinx/ 2+sin2x dx

     let that be equal to    

    for   put sinx-cosx= t   ............................(1)

    (sinx+cosx)dx=dt

     squaring (1)

    1-sin2x=t^2

     sin2x=1-t^2

similarly for   take sinx+cosx= p and proceed

finally by solving we get

dt/3-t^2  +dt/1+t^2

=1/2  log[root3+2/ root3-2] +tan^-1 (p)

where t=sinx-cosx and p=sinx+cosx

correct if i am wrong!!

Let S be the set of integers .For a,bS , relation R is defined by aRb iff |a-b|<1 then R is



1)only reflexive



2)only symmetric



3)only transitive



4)equivalence

pls explain!!

USE THE FORMULA

VELOCITY OF SOUND IN AIR

= ROOT OVER [(GAMMA  * PRESSURE) / DENSITY}

WHERE GAMMA = MOLAR SPECIFIC HEAT CAPACITY

AND

GAMMA = 1+2/f

where f is degree of freedom