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int1/(x^4+3x^2+9)dx...

`int1/(x^4+3x^2+9)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(2))sin^(1)(sinx-cosx)+(1)/(sqrt2)ln|(sinx+cosx+sqrt(sin2x))|+c`
`(1)/(6)[(1)/(3)tan^(-1)((x-(3)/(x))/(3))-(1)/(2sqrt3)ln|(x+(3)/(x)-sqrt3)/(x+(3)/(x)+sqrt3)|]`
`(1)/(4)sin^(-1)((x)/(a))^(4)+c`
`(1)/(3)(logsecx)^(3)+c`
`cot^(-1)(2cot2x)+c`
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