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Sir,how to integratedx/[k-m{(2nx)^1/2}]from 0 to xk,m&n are constants

Aman Rawat , 14 Years ago
Grade 12
anser 1 Answers
Badiuddin askIITians.ismu Expert

Last Activity: 14 Years ago

Dear aman

 oxdx/[k-m2nx]

we can also wrote

 

I = 1/m2n oxdx/[(k/m2n)-x]

    =  1/m2n oxdx/[a-x]            where a =(k/m2n)

 I= 1/m2n ox[a+x]dx/[a-x]

  I= 1/m2n ox[a]dx/[a-x]  +  1/m2n ox[x]dx/[a-x]

first part u can easly calculate

for second part  

 I2 = oxxdx/x[a-x]

put x = t

         dx = 2tdt

I2 = ox2t2dt/[a-t2]

this is also a standard form

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