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Definite Integration question

2025 · 8 Apr · Shift 2 · Q37
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  5. /2025 · 8 Apr · Shift 2 · Q37

Definite Integration question

2025 · 8 Apr · Shift 2 · Q37

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
The integral ∫−132(∣π2xsin⁡(πx)∣)dx\int\limits_{-1}^{\frac{3}{2}} \left(| \pi^2 x \sin(\pi x) \right|) dx−1∫23​​(∣π2xsin(πx)​)dx is equal to:
  1. A
    2+3π2 + 3\pi2+3π
  2. B
    4+π4 + \pi4+π
  3. C
    1+3π1 + 3\pi1+3π
  4. D
    3+2π3 + 2\pi3+2π
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