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intsqrt(x-3)(sin^(-1)(Inx)+cos^(-1)(Inx)...

`intsqrt(x-3)(sin^(-1)(Inx)+cos^(-1)(Inx))dx` is equal to

A

`(pi)/(3)(x-3)^(3//2)+C`

B

0

C

does not exist

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
We know that `sin^(-1)x+cos^(-1)x=(pi)/(2), if-1lexle1`.
Since , In `x in(-oo, oo)`. Therefore,
`sin^(-1)(Inx)+cos^(-1)(Inx)` does not exist.
Hence , the given integral does not exist.
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OBJECTIVE RD SHARMA ENGLISH-INDEFINITE INTEGRALS-Solved Example
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