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Integration of 1/(x²+a²)(x²+b²)
Asked by Rashi | 22 Feb, 2018, 11:04: PM
answered-by-expert Expert Answer
begin mathsize 16px style integral fraction numerator 1 over denominator left parenthesis straight x squared plus straight a squared right parenthesis left parenthesis straight x squared plus straight b squared right parenthesis end fraction dx
fraction numerator 1 over denominator straight a squared minus straight b squared end fraction integral fraction numerator open parentheses straight a squared minus straight b squared close parentheses dx over denominator open parentheses straight x squared plus straight a squared close parentheses begin display style left parenthesis end style begin display style begin display style straight x end style squared end style begin display style plus end style begin display style begin display style straight b end style squared end style begin display style right parenthesis end style end fraction
fraction numerator 1 over denominator straight a squared minus straight b squared end fraction integral fraction numerator straight x squared plus straight a squared minus left parenthesis straight x squared plus straight b squared right parenthesis over denominator open parentheses straight x squared plus straight a squared close parentheses begin display style open parentheses straight x squared plus straight b squared close parentheses end style end fraction dx
fraction numerator 1 over denominator straight a squared minus straight b squared end fraction integral open square brackets fraction numerator up diagonal strike straight x squared plus straight a squared end strike over denominator up diagonal strike open parentheses straight x squared plus straight a squared close parentheses end strike open parentheses straight x squared plus straight b squared close parentheses end fraction minus fraction numerator begin display style up diagonal strike left parenthesis straight x squared plus straight b squared right parenthesis end strike end style over denominator open parentheses straight x squared plus straight a squared close parentheses up diagonal strike open parentheses straight x squared plus straight b squared close parentheses end strike end fraction close square brackets dx
Solving space integration space you space will space get space the space answer.

end style
Answered by Sneha shidid | 23 Feb, 2018, 11:18: AM
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