A

To solve this problem, we need to identify the integral represented in the given image. We can denote the integral as \( \int \sec(\theta) \, d\theta \). The standard result for this integral is \( \int \sec(\theta) \, d\theta = \ln |\sec(\theta) + \tan(\theta)| + C \). However, we can express \( \sec(\theta) \) in terms of angles. In integration, the integral of the secant function is often represented in the form that leads to showing the antiderivative in terms of the secant and tangent function. Hence, the correct answer equivalent to this integral simplifies to the common term that must equal \( \sec(\theta) + C \) as part of its solution. Therefore, the correct choice is option A.