Integration ( x + 1) ex dx/( x + 2)2 explain in great detail

Integral of 1/(1+x^2)
Integral of 1/(1+x^2)

CBSE Class 12-science Answered

Integration ( x + 1) ex dx/( x + 2)2 explain in great detail

Asked by haroonrashidgkp | 27 Oct, 2018, 05:40: PM

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

Answered by Ram Singh | 28 Oct, 2018, 04:19: PM

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