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Definite Integration question

2019 · 9 Jan · Shift 2 · Q25
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  5. /2019 · 9 Jan · Shift 2 · Q25

Definite Integration question

2019 · 9 Jan · Shift 2 · Q25

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If ∫0π3tan⁡θ2k sec⁡θ dθ=1−12,(k>0),\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1 - {1 \over {\sqrt 2 }},\left( {k \gt 0} \right),0∫3π​​2ksecθ​tanθ​dθ=1−2​1​,(k>0), then value of k is :
  1. A
    4
  2. B
    12{1 \over 2}21​
  3. C
    1
  4. D
    2
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