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<p>Integrate the following expressions with respect to $x$.</p>
<p>${\displaystyle\displaystyle\int \frac{e^{2x} - e^{5x} + 7}{e^{4x}} \ \mathrm{d}x}$</p>

Integrate the following expressions with respect to $x$.

${\displaystyle\displaystyle\int \frac{e^{2x} - e^{5x} + 7}{e^{4x}} \ \mathrm{d}x}$

Integration of Exponential Functions

Integration

<p>Integrate the following expressions with respect to $x$.</p>
<ol class="abc-list"><li data-list-item-id="item-1770454816035-fx6fcwf85" data-list-item-path="item-1770454816035-fx6fcwf85"><div class="list-item-paragraph">${\displaystyle\displaystyle\int \frac{e^{2x} + 6}{e^{2x}} \ \mathrm{d}x}$</div></li><li data-list-item-id="item-1770454816732-37lxslkla" data-list-item-path="item-1770454816732-37lxslkla"><div class="list-item-paragraph">${\displaystyle\displaystyle\int \frac{1 - e^{5-7x}}{e^{5-7x}} \ \mathrm{d}x}$</div></li></ol>

<p>Integrate the following expressions with respect to $x$.</p>
<ol class="abc-list"><li data-list-item-id="item-1770454609163-7s4s4jslt" data-list-item-path="item-1770454609163-7s4s4jslt"><div class="list-item-paragraph">${\displaystyle\displaystyle\int e^{3x+2} \ \mathrm{d}x}$</div></li><li data-list-item-id="item-1770454609816-tnzaw7tlg" data-list-item-path="item-1770454609816-tnzaw7tlg"><div class="list-item-paragraph">${\displaystyle\displaystyle\int \frac{(e^{4x}-e^x)^2}{e^x} \ \mathrm{d}x}$</div></li></ol>

<p>Find $\displaystyle\displaystyle \displaystyle\int{\left( 8{{\text{e}}^{4x}}+\sqrt{{{\text{e}}^{-x}}} \right)\ }\mathrm{d}x$.</p>

Find $\displaystyle\displaystyle \displaystyle\int{\left( 8{{\text{e}}^{4x}}+\sqrt{{{\text{e}}^{-x}}} \right)\ }\mathrm{d}x$.

<p>Integrate the following exponential expressions with respect to $x$:</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">$\displaystyle\displaystyle \displaystyle\int \mathrm{e}^{2x-1} \, \mathrm{d}x$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$\displaystyle\displaystyle \displaystyle\int \frac{\mathrm{e}^{4x}+5}{\mathrm{e}^{4x}} \, \mathrm{d}x$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$\displaystyle\displaystyle \displaystyle\int \frac{(\mathrm{e}^{2x}-\mathrm{e}^x)^2}{\mathrm{e}^x} \, \mathrm{d}x$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$\displaystyle\displaystyle \displaystyle\int \frac{1-\mathrm{e}^{4-3x}}{\mathrm{e}^{4-3x}} \, \mathrm{d}x$</span></div></li></ol>

Integrate the following exponential expressions with respect to $x$:

$\displaystyle\displaystyle \displaystyle\int \mathrm{e}^{2x-1} \, \mathrm{d}x$

$\displaystyle\displaystyle \displaystyle\int \frac{\mathrm{e}^{4x}+5}{\mathrm{e}^{4x}} \, \mathrm{d}x$

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

$\displaystyle\displaystyle \displaystyle\int \frac{1-\mathrm{e}^{4-3x}}{\mathrm{e}^{4-3x}} \, \mathrm{d}x$

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