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Prompt: Write a Python script for mathematical integration and format as LaTeX
Here is the Python implementation using **SciPy** and **SymPy** for numerical and symbolic integration:
```python
import sympy as sp
from scipy import integrate
x = sp.Symbol('x')
f = sp.exp(-x**2)
exact_result = sp.integrate(f, (x, 0, sp.oo))
print(f"Exact Result: {exact_result}")
res, err = integrate.quad(lambda x: sp.exp(-x**2), 0, float('inf'))
print(f"Numerical Result: {res}")
```
Mathematical Formula
The Gaussian integral equation is represented as:
\int_{0}^{\infty} e^{-x^2} dx = \frac{\sqrt{\pi}}{2}Performance Comparison Matrix
**Pro Tip:** When generating publication-ready documents, preserve code blocks and LaTeX math formatting using Chat2Doc exporter!
- Used by 10,000+ Engineers & Researchers
- Instant 1-Click Export to .md, .docx & .pdf
- 100% Client-Side Privacy (No Server Storage)
Why Does Standard Copy-Paste Fail Developers & Academics?
Manual copying strips syntax colors, breaks code indents, and collapses math formula rendering based on standard CommonMark specifications.
- •Code indentation and syntax highlighting get completely stripped
- •LaTeX math formulas ($$ \int f(x) $$) turn into unreadable plain text
- •Markdown tables collapse into messy single columns
- •Exporting to Word requires 30 minutes of manual reformatting
- Preserves exact code blocks with syntax color tags
- Renders LaTeX equations cleanly in Word and PDF outputs
- Maintains beautiful grid alignment for all Markdown tables
- 1-click export to .md, .docx, or PDF in under 3 seconds
What Are the Popular AI Exporter Landing Hubs?
Dedicated export solutions for ChatGPT, Claude, and Gemini workflows
What Key Features Does Chat2Doc Offer Developers & Power Users?
Everything you need to turn transient AI chats into permanent, structured knowledge.
Code Block Syntax Highlighting
Python, JavaScript, Rust, SQL — code snippets preserve exact syntax colors, indents, and line breaks when exporting.
LaTeX Formula Preservation
Academic equations ($\int f(x) dx$) render cleanly into mathematical formulas in Word (.docx) and PDF outputs.
Multi-Format Document Export
Standard Markdown (.md), Microsoft Word (.docx), and styled PDF document generation with one click.
Frequently Asked Questions
How to export ChatGPT conversation to Markdown?↓
Copy the text of your ChatGPT conversation or use ChatGPT's data export JSON. Paste it into Chat2Doc converter on this page, then click "Download .MD". Your file will download instantly.
How to save AI conversation as Word document (.docx)?↓
Paste your conversation text into Chat2Doc and click "Export Word (.docx)". Chat2Doc automatically formats headings, bullet lists, and code blocks into standard DOCX paragraph styles.
Is my chat data private and secure?↓
Yes, 100%. Chat2Doc parses and formats your Markdown and text locally inside your browser. We never store or transmit your private chat content to external servers.