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Definite Integration question

2019 · Shift 2 · Q31
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  2. /JEE Advanced
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  5. /2019 · Shift 2 · Q31

Definite Integration question

2019 · Shift 2 · Q31

JEE AdvancedMathematicsDefinite IntegrationNumerical+3 / −1
The value of the integral ∫0π/23cos⁡θ(cos⁡θ+sin⁡θ)5dθ\int\limits_0^{\pi /2} {{{3\sqrt {\cos \theta } } \over {{{(\sqrt {\cos \theta } + \sqrt {\sin \theta } )}^5}}}} d\theta0∫π/2​(cosθ​+sinθ​)53cosθ​​dθ equals ..............
Numerical answer
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