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Solution

Answer:

Step-by-Step Solution

Step 1

Rewrite as a power of x

Step 2

Apply the power rule: ∫x^n dx = x^(n+1)/(n+1) + C

Step 3

Simplify

🤖 Machine Learning Application

The 1/x² function appears in inverse square laws and regularization terms in ML models. Its integral is used in calculating gradients for certain loss functions and in weight decay mechanisms.

Frequently Asked Questions

What is the integral of 1/x²?

The integral of 1/x² is -\frac{1}{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?

The 1/x² function appears in inverse square laws and regularization terms in ML models. Its integral is used in calculating gradients for certain loss functions and in weight decay mechanisms.

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