https://file.aiquickdraw.com/mathbot/file/1727333426628khze6437.jpg

The integral in the image is:

\[
\int \frac{dx}{\sin(x) \cdot \cos^2(x)}
\]

To solve this, we can use trigonometric identities and substitution:

### Step 1: Use a trigonometric identity
We can express the integrand in terms of tangent:
\[
\cos^2(x) = \frac{1}{1 + \tan^2(x)} \quad \text{and} \quad \sin(x) = 2\tan(x)


Solve the integral of dx divided by sin(x) * cos^2(x).

Learn how to solve the trigonometric integral ∫ dx / (sin(x) * cos^2(x)) using trigonometric identities and substitution. This step-by-step guide covers advanced calculus concepts, including integral identities and trigonometric integration techniques. Suitable for undergraduate calculus students.

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