" 12."sin^(-1)(e^(tan^(-1)x))

sin(cot^(-1)(tan(tan^(-1)x))),x in(0,1]

sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3x,log_(e)(1+4x)),(sin^(-1)(e^(x)-1),tan^(-1)(2x))|

tan(sin^(-1)x)

lim_ (x rarr0) (sin (tan x) -tan (sin x)) / (tan ^ (- 1) (sin ^ (- 1) x) -sin ^ (- 1) (tan ^ (- 1) x )) =

int e^(tan^(-1)x)(1+x+x^(2))d(cot^(-1)x) is equal to -e^(tan^(-1)x)+c(b)e^(tan^(-1)x)+c-xe^(tan^(-1)x)+c(d)xe^(tan-1)x+c

int e^(tan^(-1)x)(1+x+x^2)d(cot^(-1)x) is equal to (a) -e^(tan^(-1)x)+c (b) e^(tan^(-1)x)+c (c) -xe^(tan^(-1)x)+c (d) xe^(tan^(-1)x)+c

int e^(tan^(-1)x)(1+x+x^2)d(cot^(-1)x) is equal to (a) -e^(tan^(-1)x)+c (b) e^(tan^(-1)x)+c (c) -xe^(tan^(-1)x)+c (d) xe^(tan^(-1)x)+c

The value of the definite integral (1)/(pi)int_((pi)/(2))^((5 pi)/(2))(e^(tan^(-1)(sin x)))/(e^(tan^(-1)(sin x)+e^(tan^(-1)(cos x)))dx is )

The value of tan(sin^(-1)(cos(sin^(-1)x)))tan(cos^(-1)(sin(cos^(-1)x)))." where "x in (0, 1) is equal to