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(x)tan^(-1)sqrt(x)...

(x)tan^(-1)sqrt(x)

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Differentiate e^(tan^(-1)sqrt(x)) with respect to x .

[" 0.",int sin^(-1)sqrt((x)/(a+x))dx" is equal to "],[," 1) "(x+a)tan^(-1)sqrt((x)/(a))-sqrt(ax)+C],[" 3) "(x+a)cot^(-1)sqrt((x)/(a))-sqrt(ax)+C," 2) "(x+a)tan^(-1)sqrt((x)/(a))+sqrt(ax)+C]

int (dx)/((x + 1) sqrt(x)) is equal to a) tan^(-1) sqrt(x) + C b) 2 tan^(-1) x + C c) 2 tan^(-1) (sqrt(x)) + C d) tan^(-1) (x^((3)/(2))) + C

int(e^(tan^(-1)sqrt(x)))/(sqrt(x)+x sqrt(x))dx

(i) tan^(-1)sqrt(x) (ii) tan ^(-1)(2x+1)

(i) tan^(-1)sqrt(x) (ii) tan ^(-1)(2x+1)

if int tan^(-1)sqrt(x)dx=u tan^(-1)sqrt(x)-sqrt(x)+c then u=

tan^(-1)sqrt(x) is equal to

tan^(-1)((sqrt(x))/(1+20x))

"tan^(-1)"((sqrt(x)-x)/(1+sqrt(x^(3))))"