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$\int_{0}^{a} {(a^{2} - x^{2})}^{5 / 2} d x =$

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Correct option is B

Put x=asin⁡θ⇒dx=acos⁡θdθ G.I =∫0π/2 a2−a2sin2⁡θ5/2(acos⁡θ)dθ=a6∫0π/2 cos5⁡θcos⁡θdθ=a6∫0π/2 cos6⁡θdθ=a6⋅56⋅34⋅12⋅π2=5πa632

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∫0aa2−x25/2 dx=

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$\int_{0}^{a} {(a^{2} - x^{2})}^{5 / 2} d x =$