jee_main_2026_22_january_evening - Integral Calculus Topics

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QUESTION #12 Area Under Curves
The area of the region A = (x,y) : 4x² + y² ≤ 8 and y² ≤ 4x is:
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QUESTION #22 Definite Integral and King's Property
Let [·] be the greatest integer function. If α = ∫₀⁶⁴ (x1/3 - [x1/3]) dx, then (1)/(π) ∫₀απ ( ( ²θ)/( ⁶θ + ⁶θ) ) dθ is equal to ____.
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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