AP EAMCET2008MathematicsDefinite Integration

₀^1 x^ 3 / 2 1-x d x is equal to

Options

Correct answer

D. 16

Step-by-step solution

Let I= ₀^1 x^ 3 / 2 1-x d x Put x= ^2 d x=2 d aligned I & = ₀^ / 2 ^3 1- ^2 2 d & =2 ₀^ / 2 ^4 ^2 d & =2 [ 3 1 1 6 4 2 2 ] (using Wallis formula) & = 16 aligned

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