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suspenc3
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\int \frac{e^3^x}{e^2^x+3e^x+2}dx
what should i substitute "u" for?
what should i substitute "u" for?
What Should I Substitute u For in \(\int \frac{e^{3x}}{e^{2x}+3e^{x}+2} \, dx\)?
- Thread starter suspenc3
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The integral \(\int \frac{e^{3x}}{e^{2x}+3e^{x}+2} \, dx\) can be simplified by substituting \(u = e^{x}\). This substitution transforms the integral into a more manageable form, allowing for easier integration. The denominator can be factored as \((u^2 + 3u + 2)\), which simplifies the integration process. After substitution, the integral can be solved using standard techniques for rational functions. This approach effectively streamlines the integration of the given expression.