App Calculus Studio

App Calculus Studio

Differential and integral calculus app by IIG Technology.
UI languages: English (default), Bulgarian, German, French, Spanish — switched inside the app (globe icon on the home screen), independent of the device language.

## Tools

| Tool | What it does |

| Derivatives | Symbolic derivatives of order 1–5, values at x₀, numerical check, tangent and normal lines, slope angle, graph of f, f′, f″ and the tangent |
| Integrals | Symbolic antiderivative (verified by differentiation), definite and improper integrals (±∞), Newton–Leibniz exact value (π, √2, ln 2 … recognised), adaptive Gauss–Kronrod G7/K15 with error estimate, left/right/midpoint/trapezoid/Simpson comparison, shaded area |
| Limits | Limits at a point or ±∞, left/right limits, L'Hôpital's rule applied symbolically, numerical extrapolation (Richardson, Aitken) |
| Taylor series | Taylor/Maclaurin polynomials up to order 12 with exact coefficients, error at a chosen x, comparison plot |
| Function analysis | Zeros, local extrema, saddle points, inflection points, monotonicity and convexity intervals, vertical/horizontal/oblique asymptotes |
| Applications | Area between curves, volumes of revolution (x- and y-axis), arc length, surface area of revolution, average value and mean-value-theorem points |
| History | SQLite history; tap an entry to reopen it, long-press to delete |

Input syntax: `x^2*sin(x)`, `2x`, `3sin(x)`, `(x+1)(x-1)`, `|x|`, `sqrt(x)`, `e^x`, `pi`, decimal point or comma, Bulgarian aliases `tg`, `ctg`, `arctg`, `lg`, and `sin^2(x)`. Bounds accept `inf`, `-inf`, `pi/2` …