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CBSE Class 12-science Answered

Integration e^x (log x + 1/x²) dx

Asked by haroonrashidgkp | 27 Oct, 2018, 05:45: PM

Expert Answer

integral e to the power of x left parenthesis log space x space plus 1 over x squared right parenthesis space d x integral e to the power of x left parenthesis log space x plus 1 over x space minus 1 over x plus 1 over x squared right parenthesis space d x integral e to the power of x left parenthesis og space x plus 1 over x right parenthesis d x space plus integral e to the power of x left parenthesis negative 1 over x plus 1 over x squared right parenthesis space d x w e space h e 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 space d x equals space e to the power of x left parenthesis f left parenthesis x right parenthesis space plus space c s o space space integral e to the power of x left parenthesis og space x plus 1 over x right parenthesis d x space plus integral e to the power of x left parenthesis negative 1 over x plus 1 over x squared right parenthesis space d x equals space space e to the power of x space left parenthesis log space x right parenthesis space space plus e to the power of x left parenthesis negative 1 over x right parenthesis space plus c e to the power of x space left parenthesis log space x right parenthesis space space minus e to the power of x left parenthesis 1 over x right parenthesis space plus c

Answered by Ram Singh | 28 Oct, 2018, 02:09: PM

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