jee_main_2025_03_april_morning - Integrals Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #65 Methods of Integration by Substitution
Let f(x) = ∫ x³√(3 - x²) dx[cite: 635, 637]. If 5f(√(2)) = -4 [cite: 638], then f(1) is equal to[cite: 642]:
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QUESTION #67 Definite Integral of Greatest Integer Function
Let the domain of the function f(x) = ₂ ₄ ₆(3 + 4x - x²) be (a, b)[cite: 663]. If ∫₀b-a[x²]dx = p - √(q) - √(r) [cite: 664], where p, q, r in N [cite: 664] and (p, q, r) = 1 [cite: 668], and [·] represents the greatest integer function [cite: 668], then p + q + r is equal to[cite: 668]:
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QUESTION #75 Area Under Bounded Curves
The area of the region bounded by the curve y = |x|, x|x - 2| [cite: 699], the x-axis and the lines x = -2 and x = 4 is equal to[cite: 699, 702]:
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Rankbit System
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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