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If int(x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2...

If `int(x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx=Asqrt(1-9x^(2))+B(cos^(-1)3x)^(3)+C,` then A-B is

A

`C-((1)/(9)sqrt(1-9x^(2))+(cos^(-1)3x)^(3))`

B

`C+((1)/(9)sqrt(1-9x^(2))+(cos^(-1)3x)^(3))`

C

`C-(sqrt(1-9x^(2))+(cos^(-1)3x)^(3))`

D

`(1)/(9)sqrt(1-9x^(2))-(cos^(-1)3x)^(3)+C`

Text Solution

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The correct Answer is:
A
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