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Solution

Answer:
Alternate form:

Step-by-Step Solution

Step 1

Rewrite tan(x) as sin(x)/cos(x)

Step 2

Use substitution: let u = cos(x), then du = -sin(x)dx

Step 3

Integrate

🤖 Machine Learning Application

Same as tanx - appears in activation functions and optimization landscapes.

Frequently Asked Questions

What is the integral of tan(x)?

The integral of tan(x) is -\ln|\cos(x)| + C, where C is the constant of integration.

How do you solve this integral?

Follow the step-by-step solution above, which uses standard integration techniques.

Where is this used in machine learning?

Same as tanx - appears in activation functions and optimization landscapes.

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