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Let n be a positive interger such that I...

Let n be a positive interger such that `I_n=intx^nsqrt(a^2-x^2)dx`
Answer the following the question based on above passage:
The value of the expression `(int_0^ax^4sqrt(a^2-x^2)dx)/(int_0^ax^2sqrt(a^2-x^2)dx)` is equal to

A

`a^2/6`

B

`(3a^2)/2`

C

`(3a^2)/4`

D

`a^2/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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