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Definite Integration question

2024 · 4 Apr · Shift 2 · Q46
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  5. /2024 · 4 Apr · Shift 2 · Q46

Definite Integration question

2024 · 4 Apr · Shift 2 · Q46

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If the value of the integral ∫−11cos⁡αx1+3xdx\int\limits_{-1}^1 \frac{\cos \alpha x}{1+3^x} d x−1∫1​1+3xcosαx​dx is 2π\frac{2}{\pi}π2​.Then, a value of α\alphaα is
  1. A
    π2\frac{\pi}{2}2π​
  2. B
    π4\frac{\pi}{4}4π​
  3. C
    π3\frac{\pi}{3}3π​
  4. D
    π6\frac{\pi}{6}6π​
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