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












0












$begingroup$


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



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".






calculus integration







share|cite|improve this question











$endgroup$












  • $begingroup$
    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.
    $endgroup$
    – David G. Stork
    Jan 30 at 6:57










  • $begingroup$
    @vishal, I tried to edit you script, please approve it if it is correct or edit it again.
    $endgroup$
    – sirous
    Jan 30 at 7:56










  • $begingroup$
    I really don't understand what you have written
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 30 at 9:29
















0












$begingroup$


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



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".






calculus integration







share|cite|improve this question











$endgroup$












  • $begingroup$
    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.
    $endgroup$
    – David G. Stork
    Jan 30 at 6:57










  • $begingroup$
    @vishal, I tried to edit you script, please approve it if it is correct or edit it again.
    $endgroup$
    – sirous
    Jan 30 at 7:56










  • $begingroup$
    I really don't understand what you have written
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 30 at 9:29














0












0








0





$begingroup$


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



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".






calculus integration







share|cite|improve this question











$endgroup$




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



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".






calculus integration




calculus integration






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 30 at 10:19







Vishal

















asked Jan 30 at 6:42









VishalVishal

11




11












  • $begingroup$
    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.
    $endgroup$
    – David G. Stork
    Jan 30 at 6:57










  • $begingroup$
    @vishal, I tried to edit you script, please approve it if it is correct or edit it again.
    $endgroup$
    – sirous
    Jan 30 at 7:56










  • $begingroup$
    I really don't understand what you have written
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 30 at 9:29


















  • $begingroup$
    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.
    $endgroup$
    – David G. Stork
    Jan 30 at 6:57










  • $begingroup$
    @vishal, I tried to edit you script, please approve it if it is correct or edit it again.
    $endgroup$
    – sirous
    Jan 30 at 7:56










  • $begingroup$
    I really don't understand what you have written
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 30 at 9:29
















$begingroup$
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.
$endgroup$
– David G. Stork
Jan 30 at 6:57




$begingroup$
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.
$endgroup$
– David G. Stork
Jan 30 at 6:57












$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56




$begingroup$
@vishal, I tried to edit you script, please approve it if it is correct or edit it again.
$endgroup$
– sirous
Jan 30 at 7:56












$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29




$begingroup$
I really don't understand what you have written
$endgroup$
– Dr. Sonnhard Graubner
Jan 30 at 9:29










0






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