** Final Answer

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** Step-by-step Solution **

Problem to solve:

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Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

Learn how to solve definite integrals problems step by step online.

$\int_{\frac{1}{2}}^{\frac{3}{4}} u^{-2}du$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/(u^2) from 1/2 to 3/4. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -2. Evaluate the definite integral. Simplify the expression inside the integral.

** Final Answer

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