The value of inta^sqrt(x)/sqrt(x) dx is ...

The value of `inta^sqrt(x)/sqrt(x)` dx is equal to

`a^sqrt(x)/sqrt(x)+C`

`(2a^sqrt(x))/(lna)+C`

`2a^sqrt(x).ln a+C`

`2a^sqrt(x)+C`

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The correct Answer is:

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int(sqrt(tanx)+sqrt(cot x)) dx is equal to

`sqrt2 sin^(-1)(sin x-cos x)+c`

`sqrt2 sin^(-1)(sinx+cos x)+c`

`sqrt2 tan^(-1) (sin x-cos x)+c`

None of the above

`(4)/(3)[1+x^(3//4)+log_(e)(1+x^(3//4))]+C`

`(4)/(3)[1+x^(3//4)-log_(e)(1+x^(3//4))]+C`

`(4)/(3)[1+x^(3//4)+log_(e)(1+x^(3//4))]+C`

none of these

`(2)/(5)(x+2)^(5//2)-(4)/(3)(x+2)^(3//2)+C`

`(1)/(5)(x+2)^(5//2)-(4)/(3)(x+2)^(3//2)+C`

`(2)/(5)(x+2)^(5//2)-(2)/(3)(x+2)^(3//2)+C`

None of these