Area Under the Curve Quiz

Explore integrals, numerical methods, probability areas, ROC curves, and model evaluation through interactive challenges, instant feedback, visual reports, and guided practice for every level.

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132 questions available across calculus, numerical integration, probability, and machine-learning AUC.

Formula Reference

Definite integral
∫ₐᵇ f(x) dx = F(b) − F(a)
Trapezoidal rule
h/2 [y₀ + 2Σyᵢ + yₙ]
Simpson’s 1/3 rule
h/3 [y₀ + 4Σyodd + 2Σyeven + yₙ]
True-positive rate
TPR = TP / (TP + FN)
False-positive rate
FPR = FP / (FP + TN)
Uniform probability
P(a≤X≤b) = (b−a)/(U−L)

How to Use

Select topics, difficulty, question count, mode, timer, and scoring rules. Answer each question, use hints when needed, bookmark difficult items, and finish to generate a detailed Plotly report.

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