Integration ex (2 – sin 2x/1- cos2x)dx  explain in great detail

Asked by haroonrashidgkp | 26th Oct, 2018, 09:39: AM

Expert Answer:

integral e to the power of x left parenthesis fraction numerator 2 minus space sin space 2 x over denominator 1 minus cos space 2 x end fraction right parenthesis space d x
integral e to the power of x left parenthesis fraction numerator 2 minus space sin 2 space x over denominator 2 sin squared space x end fraction right parenthesis space d x
integral e to the power of x left parenthesis fraction numerator 2 over denominator 2 sin squared x end fraction minus space fraction numerator sin space 2 x over denominator 2 sin squared x end fraction right parenthesis space d x
integral space e to the power of x space left parenthesis cos e c squared x space minus space fraction numerator 2 sin space x space cos x over denominator 2 sin squared x end fraction right parenthesis d x
integral space e to the power of x space left parenthesis cos e c squared x space minus space c o t space x space right parenthesis d x
space w e space h a v e space integral e to the power of x space end exponent left parenthesis f apostrophe left parenthesis x right parenthesis space plus f left parenthesis x right parenthesis right parenthesis space d x space space equals space e to the power of x left parenthesis f left parenthesis x right parenthesis right parenthesis space plus c

integral space e to the power of x space left parenthesis cos e c squared x space minus space c o t space x space right parenthesis d x equals e to the power of x space left parenthesis negative c o t space x right parenthesis space plus C

equals negative e to the power of x space c o t space x plus c

Answered by Ram Singh | 28th Oct, 2018, 02:58: PM