Please solve the integration of sinx/sqt( sin^2 x +2cos x +3)

Question

Aditya Gupta · Answer

hello mamta, the above question cn be solved by the following substitution: put y=cosx and write sin^2x in the numerator as 1 – cos^2x so the integration reduces to – ∫dy/sqrt(1-y^2+2y+3) = – ∫dy/sqrt(4-y^2+2y) = – ∫dy/sqrt(5 – (y – 1)^2) now put y-1=z so we get = – ∫dz/sqrt(5 – z^2) you can easily find the above integral (using standard integration of 1/sqrt(a^2 – x^2) is arcsin(x/a))

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Please solve the integration of sinx/sqt( sin^2 x +2cos x +3)

Please solve the integration of sinx/sqt( sin^2 x +2cos x +3)

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