JEE Advanced Math — Application of Integrals
Application of integrals for JEE Advanced aspirants.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Compute area bounded by curves whose intersections require solving non-trivial equations [Apply]
- Analyze volumes of solids of revolution about axes other than the standard x or y axis [Analyze]
- Evaluate functional equations of the form f(x) = integral expressions and solve for f [Evaluate]
- Prove inequalities involving definite integrals using monotonicity, convexity, and Cauchy-Schwarz [Create]
- Investigate centroids and arc lengths via integration in symbolic form [Analyze]
- Solve JEE Advanced multi-step and paragraph problems on integral applications [Evaluate]
📚 Chapters
- Area Bounded by Curves
- Area Between Two Curves
- Volumes of Solids of Revolution
- Length of Curves — Conceptual
- Centroid via Integrals — Conceptual
- Estimating Integrals
- Inequalities Involving Integrals
- Functional Equations Involving Integrals
- Mixed Advanced Problems
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