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Multiple Integrals

5 PYQ across 1 exam · 2024–2026 — the complete chronological timeline of how UPSC has tested this idea, oldest to newest.

20242 PYQs
ESEQ13
What is the centroid (δ = 1) of the solid enclosed by the cylinder x² + y² = 4, bounded above by the paraboloid z = x² + y², and bounded bel…
ESEQ14
What is the integral ∫_1^4 ∫_0^y √(y/x) e^√(xy) dxdy?…
20263 PYQs
ESEQ68
The value of integral ∫₀^√2 ∫_{−√(4−2y²)}^{√(4−2y²)} y dx dy is…
ESEQ69
What is the value of ∫₀^a ∫_{y/a}^{y} y/((a−x)√(ax − y²)) dx dy by changing the order of integration ?…
ESEQ70
What is the value of ∫₀^a ∫₀^{√(a²−y²)} y²√(x² + y²) dy dx by changing into polar coordinates ?…
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