Question
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Tutor-Verified Answer
Answer
La integral es
.
Solution
Sea
entonces,
La integral se transforma en
La integral de
es
Volviendo a la variable original, tenemos
Respuesta final:
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Extra Insights
To tackle the integral
, let’s consider a simple substitution that might help simplify things. Notably, since secant and tangent derivatives are connected, you can set
. Then
, making the integral easier to handle as:
Now you can focus on the integral
, which in terms of
translates back to:
This will help you evaluate and express the original integral simply! Remember to always consider potential substitutions that align with derivatives you recognize.