Math trainers
.
Practice tools for precalculus through calculus. Nothing to install, nothing to sign in to.
Understand
Integrals · Riemann sums
n = 12
4 topics
Learn
Topics you can push on — drag a secant into a tangent, slice a solid two ways, watch a Taylor polynomial spread outward. Every figure is live.
Tools
Type → LaTeX
PNG · SVG
int_0^1 x^2 dx
⇣
∫₀¹ x² dx
2 directions
Convert
Type plain keyboard math, get LaTeX plus a PNG or SVG to drop into notes. Or paste a Desmos graph and get rows NOUS can read.
Memory
Precalc · reverse values
card 1
sin θ = √3⁄2
Correct · +821
443 cards
Recall
443 table forms — derivatives, integrals, identities, the unit circle, Calc 3 formulas, integration-bee facts. Pick families and difficulty.
Working problems
L'Hôpital · 0/0
0:12
lim
x→0
(e²ˣ − 1 − 2x)/x²
2
69 generators
Limits
Type the limit: two-sided, one-sided, continuity, limits at infinity, the squeeze theorem and indeterminate forms.
Chain · level 1
0.2s
d⁄dx (4x − 3)³
12(4x − 3)²
14 techniques
Derivatives
Infinite reps across every Calc 1 technique, with hints and weak-spot drilling.
u-substitution · Calc 2
00:08
∫ 2x e
x²
dx
446 problems
Integrals
Drill, diagnose, recover — nine technique families with a built-in cheat sheet.
Disk · medium
0:14
y = x², x = 2
revolved about the x-axis
32π/5
4 methods
Volumes
Area between curves, and volumes by disks, washers and shells.
Perfect square · medium
0:21
y = x³/6 + 1/(2x)
1 + [y′]² is a perfect square
arc length on [1, 2]
17/12
7 techniques
Arcs
Perfect squares, trig and hyperbolic substitution, parametric and polar curves.
u-substitution · medium
0:18
y = √x̅, 0 ≤ x ≤ 2
revolved about the x-axis
13π/3
7 techniques
Surfaces
Every arc-length integrand again, this time carrying a radius: cones, zones, catenoids, tori.
Plane regions · Calc 2
0:26
y = x, 0 ≤ x ≤ 1
centroid of the region
2/3, 1/3
Calc 2 + Calc 3
Centroids
Centres of mass, moments and Pappus — plane regions and wires through to double, polar and triple integrals.