e^ x e^ 2 x +5 e^ x +6 d x equals
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \frac{e^{x}}{e^{2 x}+5 e^{x}+6} d x \text { equals }\)
- \(\log \left(\frac{e^{x}+3}{e^{x}+2}\right)+c\)
- \(\log \left(\frac{e^{x}+2}{e^{x}+3}\right)+c\)
- \(\frac{1}{2} \log \left(\frac{e^{x}+2}{e^{x}+3}\right)+c\)
- none of these
Answer
(B) ( e^ x +2 e^ x +3 )+c
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