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Evaluate the following integrals :\(\int\)\(\frac{e^x+1}{e^x+x}\)dx |
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Answer» Assume, ex + x = t d(ex + x) = dt ex + 1 = dt Put t and dt in given equation we get, ⇒ ∫\(\frac{dt}{t}\) = ln|t| + c. But, t = ex + x = ln| ex + 1| + c |
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