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if x^(2) !=npi+1, ninN then int x sqrt((...

if `x^(2) !=npi+1`, ninN` then `int x sqrt((2sin(x^(2)-1)-sin2(x^(2)-1))/(2sin(x^(2)-1)+sin2(x^(2)-1))) dx` is equal to (a) `In cos ((x^(2)-1)/(2))+c` (b) `(1)/(2)In cos ((x^(2)-1)/(2))+c` (c) `In sec ((x^(2)-1)/(2))+c` (d) `(1)/(2)In sec ((x^(2)-1)/(2))+c`

A

`log_eabs((sec.(x^2-1)/2))+c`

B

`log_eabs(1/2sec^2.(x^2-1))+c`

C

`1/2log_eabs(sec^2.((x^2-1)/2))+c`

D

`1/2log_eabs(sec.(x^2-1))+c`

Text Solution

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The correct Answer is:
A
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