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CBSE Class 12-science Answered

Integration [sin (log x ) + cos(log x)] dx explain in great detail
Asked by haroonrashidgkp | 28 Oct, 2018, 01:06: PM
answered-by-expert Expert Answer
integral space sin left parenthesis log space x right parenthesis plus space cos space left parenthesis log space x right parenthesis space d x
l e t space log space x equals t
s o space x equals e to the power of t
d i f f e r e n t i a t e space w. r. t space t
w e space g e t space d x equals e to the power of t d t

integral space sin left parenthesis log space x plus space cos space left parenthesis log space x right parenthesis space d x equals integral e to the power of t left parenthesis sin space t plus space cos space t right parenthesis space d t

w e space h a v e space integral e to the power of x left parenthesis f left parenthesis x right parenthesis space plus f apostrophe left parenthesis x right parenthesis right parenthesis d x space equals space e to the power of x space f left parenthesis x right parenthesis space plus space c

integral e to the power of t left parenthesis sin space t plus space cos space t right parenthesis space d t equals e to the power of t space sin t space plus c
equals space e to the power of t space end exponent space sin space left parenthesis log x right parenthesis plus c
Answered by Ram Singh | 28 Oct, 2018, 03:15: PM
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integral fraction numerator sin x times cos x over denominator square root of 1 plus sin squared end root x end fraction d x
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