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Question: how to find integration form 0 to x

Question:how to find integration form 0 to x

umar khan 30 Maple
integral differential-equation numeric
December 06 2016
1

how to find the integration of z(x) form 0 to x with the given condition...
 

> 

diff(z(x), x) = x*Typesetting:-delayDotProduct(b, 1+3*y(x))/(a^2*(1-(x/a)^2));

diff(z(x), x) = x*(b.(1+3*y(x)))/(a^2*(1-x^2/a^2))

 (1)
> 

`%%where%`, y(x) = b*((1-(x/a)^2)^(1/2)-(1-(R/a)^2)^(1/2))/(3*(1-(R/a)^2)^(1/2)-(1-(x/a)^2)^(1/2));

`%%where%`, y(x) = b*((1-x^2/a^2)^(1/2)-(1-R^2/a^2)^(1/2))/(3*(1-R^2/a^2)^(1/2)-(1-x^2/a^2)^(1/2))

 (2)
> 

with*condition; -1; z(R) = ln(1-(R/a)^2)

z(R) = ln(1-R^2/a^2)

 (3)
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``


 

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