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Definite Integration question

2025 · 29 Jan · Shift 1 · Q45
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  5. /2025 · 29 Jan · Shift 1 · Q45

Definite Integration question

2025 · 29 Jan · Shift 1 · Q45

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
The integral 80∫0π4(sin⁡θ+cos⁡θ9+16sin⁡2θ)dθ80 \int\limits_0^{\frac{\pi}{4}}\left(\frac{\sin \theta+\cos \theta}{9+16 \sin 2 \theta}\right) d \theta800∫4π​​(9+16sin2θsinθ+cosθ​)dθ is equal to :
  1. A
    3 log⁡4\log 4log4
  2. B
    4 log⁡3\log 3log3
  3. C
    6 log⁡43\log \frac{4}{3}log34​
  4. D
    2 log⁡3\log 3log3
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