Pregunta
Which of the following is an antiderivative of
?
(A)
(B)
(D)
(E)
(D)
(A)
(B)
(D)
(E)
(D)
Ask by Summers Byrd. in the United States
Jan 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The antiderivative is
.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
Mind Expander
To find the antiderivative of
, we can break it down. The antiderivative of
is
, and the antiderivative of a constant
is
. Therefore, integrating
results in
, where
is the constant of integration. So, the correct answer is (B)
.
Now, let’s make this even more fun! Did you know that the secant function is the reciprocal of the cosine function? So when you’re finding the integral involving secants, you’re really diving into the deep waters of trigonometric identities!
Also, if you ever get stuck while integrating, remember to have a checklist: check for basic derivatives, see if you can factor out constants, and don’t forget about the power rule for polynomials. Mistakes often happen when the terms are mismanaged, so clear organization is key!

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