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# Expand the logarithmic expression $\ln\left(e^{-11y^{-1}}\right)$

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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for y
• Condense the logarithm
• Expand the logarithm
• Simplify
• Find the integral
• Find the derivative
• Write as single logarithm
• Integrate by partial fractions
• Product of Binomials with Common Term
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##  Final answer to the problem

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## Derivative

$\frac{d}{dy}\left(\ln\left(e^{-11y^{-1}}\right)\right)=\frac{11}{y^{2}}$ See step-by-step solution

## Integral

$\int\ln\left(e^{-11y^{-1}}\right)dy=-11\ln\left|y\right|+C_0$ See step-by-step solution

##  Explore different ways to solve this problem

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###  Main Topic: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.