S(x)
-
C(x)
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S(x) = ∫₀ˣ sin(πt²/2) dt
C(x) = ∫₀ˣ cos(πt²/2) dt
How to Use
Enter a value of x and the tool computes the Fresnel sine integral S(x) and cosine integral C(x) using high-precision numerical integration. Fresnel integrals describe near-field diffraction and also define the clothoid (Euler spiral) used in road and railway transition curves, so the calculator serves both optics work and civil-engineering study.
- S(x) calculation
- C(x) calculation
- High-precision numerical integration
Use cases
- Optics and diffraction
- Road design (clothoid curves)
- Electromagnetic propagation
- Physics learning