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CBSE Class 12-science Answered

Integration  ex (  1 + sin x/1 + cos x ) dx  explain in great detail
Asked by haroonrashidgkp | 26 Oct, 2018, 09:40: AM
answered-by-expert Expert Answer
integral e to the power of x left parenthesis fraction numerator 1 plus sin x over denominator 1 plus cos x end fraction right parenthesis space d x integral e to the power of x left parenthesis fraction numerator 1 plus sin x over denominator 2 cos squared space begin display style x over 2 end style end fraction right parenthesis space d x integral space e to the power of x left parenthesis fraction numerator 1 over denominator 2 cos squared space x over 2 end fraction plus fraction numerator sin x over denominator 2 cos squared space x over 2 end fraction right parenthesis space d x integral space e to the power of x left parenthesis fraction numerator 1 over denominator 2 cos squared space x over 2 end fraction plus fraction numerator 2 sin begin display style x over 2 end style space cos begin display style x over 2 end style over denominator 2 cos squared space x over 2 end fraction right parenthesis space d x integral space e to the power of x left parenthesis 1 half s e c squared space x over 2 plus tan x over 2 right parenthesis space d x n o w space w e space k n o w integral e to the power of x left parenthesis f apostrophe left parenthesis x right parenthesis plus f left parenthesis x right parenthesis right parenthesis d x equals e to the power of x f left parenthesis x right parenthesis plus c integral space e to the power of x left parenthesis 1 half s e c squared space x over 2 plus tan x over 2 right parenthesis space d x equals space e to the power of x space tan x over 2 space plus C
Answered by Ram Singh | 28 Oct, 2018, 01:43: PM

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