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CBSE Class 12-science Answered

Integration 1/( 3  cos x + 4 sin x) dx explain in great detail
Asked by haroonrashidgkp | 06 Oct, 2018, 11:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator dx over denominator 3 cosx plus 4 sinx end fraction
tan straight x over 2 equals straight t
straight x equals 2 tan to the power of negative 1 end exponent straight t
dx equals fraction numerator 2 over denominator 1 plus straight t squared end fraction dt
cosx space equals fraction numerator 1 minus tan squared open parentheses begin display style straight x over 2 end style close parentheses over denominator 1 plus tan squared open parentheses straight x over 2 close parentheses end fraction equals fraction numerator 1 minus straight t squared over denominator 1 plus straight t squared end fraction
sinx equals fraction numerator 2 tan open parentheses straight x over 2 close parentheses over denominator 1 plus tan squared open parentheses straight x over 2 close parentheses end fraction equals fraction numerator 2 straight t over denominator 1 plus straight t squared end fraction
Put space it space in space the space given space integral space and space solve space it space further.
end style
Answered by Sneha shidid | 10 Oct, 2018, 11:28: AM
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