Do the Math. Claim Your Legend.
Questions that adapt as you improve. Battle through Challenge Mode with 3 lives, streak multipliers, and speed bonuses. Start as a Counter. Become The Infinite.
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π« My Classes
Directions: Evaluate each expression. Show all your work in the space provided.
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π¬ Simulations
Interactive tools to explore and visualize mathematical concepts.
Conic Sections
Visualize parabolas, ellipses, hyperbolas, and circles. Adjust parameters interactively and observe how the curve, foci, vertices, and axes change in real time.
Trig Function Transformer
Explore transformations of sine and cosine: y = a + bΒ·sin(c(x β d)). Adjust amplitude, frequency, phase, and vertical shift to see key points update in real time.
Solid of Revolution
Visualize 3D solids formed by revolving a curve around an axis. Choose functions, set bounds, switch between disk and washer methods, and animate the revolution.
Trig Integral Trainer
Practice integrating products of trigonometric functions. Covers sin/cos, sec/tan, csc/cot, and product-to-sum formulas β with fully worked step-by-step solutions.
Trig Substitution Trainer
Master trigonometric substitution for integrals involving β(aΒ²βxΒ²), β(xΒ²+aΒ²), and β(xΒ²βaΒ²). Randomized problems with detailed step-by-step solutions.
Riemann Sum Approximator
Visualize how left, right, midpoint, trapezoid, and Simpson's rules approximate a definite integral. Adjust n to watch the error converge β with a live error-vs-n convergence chart.
Partial Fraction Trainer
Practice partial fraction decomposition for integration. Covers distinct linear factors, linear and irreducible quadratic factors, and improper fractions β with step-by-step walkthroughs.
AI Assistance Disclosure
Transparency note for this platform
This platform was developed by the author with assistance from Claude (claude.ai) and ChatGPT for code generation and refinement, and Gemini 2.0 Flash for image generation.
All content, system logic, educational design, and final decisions were planned, reviewed, revised, and verified by the author, who remains responsible for the accuracy and appropriateness of all materials.
