Math  /  Calculus

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DETAILS MY NOTES SCALCET9 4.9.021.
Find the most general antiderivative of the function. (Check your answer by differentiation. Use CC for the constant of the antiderivative.) f(θ)=4sin(θ)9sec(θ)tan(θ)f(\theta)=4 \sin (\theta)-9 \sec (\theta) \tan (\theta) \quad on the interval (π2,π2)\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) F(θ)=F(\theta)= \square
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Studdy Solution
Include the constant of integration C C in the final answer:
The most general antiderivative is:
F(θ)=4cos(θ)9sec(θ)+C F(\theta) = -4 \cos(\theta) - 9 \sec(\theta) + C
The most general antiderivative is:
4cos(θ)9sec(θ)+C \boxed{-4 \cos(\theta) - 9 \sec(\theta) + C}

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