If \(\rm \displaystyle I_n = \int_0^a(a^2 - x^2)^n \ dx\), where n is a positive integer, then the relation between In and In-1 is:

\(\rm I_n = \left(\dfrac{2n^2a^2}{2n-1}\right)I_{n-1}\)

\(\rm I_n = \left(\dfrac{2na^2}{2n+1}\right)I_{n-1}\)

\(\rm I_n = \left(\dfrac{2n^2a^2}{2n+1}\right)I_{n-1}\)

\(\rm I_n = \left(\dfrac{2na^2}{2n-1}\right)I_{n-1}\)

If \(\rm \displaystyle I_n = \int_0^a(a^2 - x^2)^n \ dx\), where n is

1.	If \(\rm \displaystyle I_n = \int_0^a(a^2 - x^2)^n \ dx\), where n is a positive integer, then the relation between In and In-1 is:
A.	\(\rm I_n = \left(\dfrac{2na^2}{2n+1}\right)I_{n-1}\)
B.	\(\rm I_n = \left(\dfrac{2n^2a^2}{2n+1}\right)I_{n-1}\)
C.	\(\rm I_n = \left(\dfrac{2na^2}{2n-1}\right)I_{n-1}\)
D.	\(\rm I_n = \left(\dfrac{2n^2a^2}{2n-1}\right)I_{n-1}\)
Answer» D. \(\rm I_n = \left(\dfrac{2n^2a^2}{2n-1}\right)I_{n-1}\)

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If \(\rm \displaystyle I_n = \int_0^a(a^2 - x^2)^n \ dx\), where n is a positive integer, then the relation between In and In-1 is:

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