" 8.(i) "e^(x^(3))" (ii) "sin(tan^(-1)e^(-1)).

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

(i) int(e^(x))/(1+e^(x))dx" "(ii) int (e^(x)) /((1+e^(x))^(4))dx

(i) int(e^(x))/(1+e^(x))dx" "(ii) int (e^(x)) /((1+e^(x))^(4))dx

Find the principal value of the following (i) cos e c^(-1)(2) (ii) tan^(-1)(-sqrt(3))

Evaluate: (i) int x^(3)sin x^(4)dx( ii) int e^(-x)cos ec^(2)(2e^(-x)+5)dx( iii) int x^(2)(tan^(-1)x^(3))/(1+x^(6))dx

Integrate the following respect to x. (i) (xsin^(-1)x)/(sqrt(1-x^2)) (ii) x^5e^(x^2) (iii) tan^(-1)((8x)/(1-16x^2)) (iv) sin^(-1)((2x)/(1+x^2))

" (i) "int(e^(tan^(-1)x)dx)/((1+x^(2))

Evaluate: ( i ) int(x^(4)+x^(2)+1)d(x^(2)) (ii) int sin(e^(x))d(e^(x))

(i) int(1)/((1+x^(2))tan ^(-1) x )dx " "(ii) int(e^(tan^(-1)x))/(1+x^(2))dx