Problem

Find the most general antiderivative of the funct…

01:16

Problem 16 Easy Difficulty

Find the most general antiderivative of the function.
(Check your answers by differentiation.)

$ r(\theta) = \sec\theta\,\sec\theta - 2e^{\theta} $

Answer

$\int \sec \theta \cdot \tan \theta-2 e^{\theta} d \theta=\sec \theta-2 e^{\theta}+C$

Topics

Derivatives

Differentiation

Volume

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Discussion

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Video Transcript

I said we have to find you generated. You're the function. Our data Recon data sometimes. Oh, yeah. Reminder that there is a This is an error. So it's supposed to be tangent data right here. Story about that was going to take a date. A time. Ten in data money to eat. There s O to find the answer. Do we take the intra goal that we take? Second Data Hope seeking data Qianjin data minus two BTO data and we can break this integral up. You're seeking data Tangent data and minus And to go. Um, it's gonna be deed data gonna have that vicinity data. And it's only minus integral to eat data data and then second data time ten theater. What other to an identity? This is the same thing as Second Tater. Go on then too. This is a conference of the two comes out. So we managed to and the intrigue of the data easily Anything is just e too the whatever it is So seat data And we have a plus constant. And this is our answer. Hey,

Fahad P.