How can I get integral of following function? Matlab is not showing result?

 syms p k y
>> z=sqrt((p*exp(-k*y))/(1-(1-p)*exp(-2*k*y)))

z =

((p*exp(-k*y))/(exp(-2*k*y)*(p - 1) + 1))^(1/2)

>> int(z)

ans =

int(((p*exp(-k*y))/(exp(-2*k*y)*(p - 1) + 1))^(1/2), y)

Answer 1

[madhan ravi]

Matlabs symbolic engine is not able to solve the integral because the question contains many symbolic variables.

[dayu]

Sir, what shall I do?

[madhan ravi]

Use numerical integral instead of symbolic but definitely you won’t get result in symbolic form unless you pass limits to the integral

[dayu]

Sir, when I am trying to use method of substitution, I am getting simplified expression and when I try to do integration, result is: syms x a f=(1/sqrt(x*((x^2)-a))) d=(int(f)); d =

-(2*a^(1/2)*(-x/a^(1/2))^(1/2)*ellipticF(asin((-x/a^(1/2))^(1/2)), -1)*(1 - x/a^(1/2))^(1/2)*(x/a^(1/2) + 1)^(1/2))/(x^3 - a*x)^(1/2)

which include elliptic integral. I want to put numerical values to this x and a. But when I tried, I am getting complex number. But I want real number. What shall I do?

d_num = matlabFunction(d); >> d_num(1,3)

ans =

   1.4539 + 2.6221i

[dayu]

Sir, I am getting result as complex numbers. But I am dealing with real numbers. What shall I do?

[madhan ravi]

Im not sure how to avoid it