Dawson Integral Calculator
Free online dawson integral calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.
中文版：Dawson 积分在线计算器
Dawson 积分 F(x) = e^(−x²)·∫₀ˣ e^(t²) dt，是误差函数 erf 的"去饱和"近亲，在 x → ∞ 时按 1/(2x²) 衰减。
谱线展宽与朗道阻尼
F(1) = 0.5380795069127684；F(2) = 0.3013403889237919；F(6) = 0.0845426889745377
Maxwell 速度分布遇上洛伦兹碰撞，卷积出的 Voigt 谱线其核心正是 Dawson 函数——多普勒展宽 F(x) 与洛伦兹展宽 1/(1+x²) 的组合。等离子体里朗道阻尼的色散关系 Z(x) = 2iF(x) − 实虚部纠缠；激光物理的增益饱和同样用它。直接对 e^(t²) 数值积分会指数爆炸，必须靠级数（|x| ≤ 6）与渐近（x > 6）双路径接力。
How to use the Dawson Integral Calculator
- Fill in the inputs with your own numbers — every field shows what it expects.
- The result updates instantly as you type; no "Calculate" click needed.
- Read the result card for the main figure, the step-by-step formula, and practical notes.
Frequently asked questions
Is the Dawson Integral Calculator free?
Yes — all math calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.
Is there a Chinese version of this tool?
Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.
References
Formulas and benchmarks used by this calculator follow these published sources.
KevinContent LeadCalcton Editorial Team · Last updated 2026-09-26
Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.
Related calculators
More in this category: Math calculators
About math calculators
Free online math calculators for algebra, statistics, number theory and everyday arithmetic — from quadratic equations and matrices to percentages, fractions and prime factorization, each with step-by-step formulas.