Evaluate the following : `int_(0)^(a)x^(2)(a-x)^((3)/(2))dx.`A. `8 /315 a^(9/2)`B. `16/315a^(9/2)`C. `8/315 a^(5/2)`D. `16/315a^(5/2)`

Evaluate the following : `int_(0)^(a)x^(2)(a-x)^((3)/(2))dx.`A. `8 /31

1.	Evaluate the following : `int_(0)^(a)x^(2)(a-x)^((3)/(2))dx.`A. `8 /315 a^(9/2)`B. `16/315a^(9/2)`C. `8/315 a^(5/2)`D. `16/315a^(5/2)`
Answer» Correct Answer - B

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The value of `int_(0)^((pi)/(4))tan^(2)thetad theta` is-A. `(pi)/(4)-1`B. `1-(pi)/(4)`C. `(pi)/(2)-1`D. `pi-2`
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`int_0^(pi//2)(theta/sintheta)^2d theta=`A. `pi/(log2)`B. `log 2`C. `pi log 2`D. `pi`