<p>Integrate the following expressions with respect to \(x\):</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(\displaystyle\displaystyle \displaystyle\int \mathrm{e}^{2-3x} \, \mathrm{d}x\)</div></li><li><div class="list-item-paragraph">\(\displaystyle\displaystyle \displaystyle\int (\mathrm{e}^{x+1}-2)^2 \, \mathrm{d}x\)</div></li><li><div class="list-item-paragraph">\(\displaystyle\displaystyle \displaystyle\int \frac{(3\mathrm{e}^{-x}+\mathrm{e}^{2x})^2}{\mathrm{e}^x} \, \mathrm{d}x\)</div></li><li><div class="list-item-paragraph">\(\displaystyle\displaystyle \displaystyle\int \frac{1-\mathrm{e}^{2x}}{\mathrm{e}^{2x}} \, \mathrm{d}x\)</div></li></ol>

Integrate the following expressions with respect to \(x\):

\(\displaystyle\displaystyle \displaystyle\int \mathrm{e}^{2-3x} \, \mathrm{d}x\)

\(\displaystyle\displaystyle \displaystyle\int (\mathrm{e}^{x+1}-2)^2 \, \mathrm{d}x\)

\(\displaystyle\displaystyle \displaystyle\int \frac{(3\mathrm{e}^{-x}+\mathrm{e}^{2x})^2}{\mathrm{e}^x} \, \mathrm{d}x\)

\(\displaystyle\displaystyle \displaystyle\int \frac{1-\mathrm{e}^{2x}}{\mathrm{e}^{2x}} \, \mathrm{d}x\)

Integration Techniques

Question 6f2f8a5c