4^(4)sin(tan^(-1)e^(-x))

Evaluate int(4x^(3)sin(tan^(-1)(x^(4))))/(1+x^(8))dx

int(x^(3)sin[tan^(-1)(x^(4))])/(1+x^(8))dx is equal to : a) 1/4cos[tan^(-1)(x^(4))]+c b) 1/4sin[tan^(-1)(x^(4))]+c c) -1/4cos[tan^(-1)(x^(4))]+c d) 1/4sec^(-1)[tan^(-1)(x^(4))]+c

(x ^ (3) sin (tan ^ (- 1) x ^ (4))) / (1 + x ^ (8))

(x^3sin(tan^(- 1)x^4))/(1+x^8)

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

Evaluate: (i) cot((sin^(-1)3)/(4)+(sec^(-1)4)/(3))( ii) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x<0

Evaluate: (i) cot(sin^(-1)(3/4)+sec^(-1)(4/3)) (ii) sin(tan^(-1)x+tan^(-1)(1/x)) for x<0

int(2e^(5x)+e^(4x)-4e^(3x)+4e^(2x)+2e^(x))/((e^(2x)+4)(e^(2x)-1)^(2))dx= a) "tan"^(-1)(e^(x))/(2)-(1)/(e^(2x)-1)+C b) "tan"^(-1)e^(x)-(1)/(2(e^(2x)-1))+C c) "tan"^(-1)(e^(x))/(2)-(1)/(2(e^(2x)-1))+C d) 1-"tan"^(-1)((e^(x))/(2))+(1)/(2(e^(2x)-1))+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 )