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CBSE Class 12-science Answered

Integration  ex  (x – 1)/( x + 1)3 dx  explain in great detail
Asked by haroonrashidgkp | 25 Oct, 2018, 10:41: AM
answered-by-expert Expert Answer
integral e to the power of x left parenthesis fraction numerator x minus 1 over denominator left parenthesis x plus 1 right parenthesis cubed end fraction right parenthesis d x
equals integral e to the power of x left parenthesis fraction numerator x plus 1 minus 1 minus 1 over denominator left parenthesis x plus 1 right parenthesis cubed end fraction right parenthesis d x
integral e to the power of x left parenthesis fraction numerator x plus 1 over denominator left parenthesis x plus 1 right parenthesis cubed end fraction space minus fraction numerator 2 over denominator left parenthesis x plus 1 right parenthesis cubed end fraction right parenthesis d x
integral e to the power of x left parenthesis fraction numerator 1 over denominator left parenthesis x plus 1 right parenthesis squared end fraction space minus fraction numerator 2 over denominator left parenthesis x plus 1 right parenthesis cubed end fraction right parenthesis 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 equals e to the power of x f left parenthesis x right parenthesis plus c
integral e to the power of x left parenthesis fraction numerator 1 over denominator left parenthesis x plus 1 right parenthesis squared end fraction space minus fraction numerator 2 over denominator left parenthesis x plus 1 right parenthesis cubed end fraction right parenthesis d x equals space e to the power of x left parenthesis fraction numerator 1 over denominator left parenthesis x plus 1 right parenthesis squared end fraction right parenthesis plus c
Answered by Ram Singh | 29 Oct, 2018, 04:31: PM
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