# $\int_{100}^{200} \frac{1}{ 8 + b\sqrt{1-\frac{(x-100)^2}{100^2} } + b\sqrt{1-\frac{(x-200)^2}{100^2} } } dx$

$$\int_{100}^{200} \frac{1}{ 8 + b\sqrt{1-\frac{(x-100)^2}{100^2} } + b\sqrt{1-\frac{(x-200)^2}{100^2} } } dx$$

I tried this in Mathematica but got the same thing as solution. By considering "b" = 1, I got solution as something big with lot of imaginary terms. I am expecting that this integration could give me a function in terms of "b".

• Do you really want to have a negative value within the square roots (as you do)? I suspect you've set up your equation wrong, guaranteeing you get imaginary integrand values. Recheck. – David G. Stork Jan 30 at 6:57
• @vishal, I tried to edit you script, please approve it if it is correct or edit it again. – sirous Jan 30 at 7:56
• I really don't understand what you have written – Dr. Sonnhard Graubner Jan 30 at 9:29