Evaluate`int(sin^2x)/(cos^4x)\ dx=`
(a)`1/3tan^2x+C`
(b) `1/2tan^2x+C`
(c) `1/3tan^3x+C`
(d) none

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

Evaluate: int(sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

intx/(4+x^4)\ dx is equal to 1/4tan^(-1)x^2 (b) 1/4tan^(-1)((x^2)/2) (c) 1/2tan^(-1)((x^2)/2) (d) none of these

The value of int_1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is (a) tane (b) tan^(-1)e (c) tan^(-1)(1/e) (d) none of these

Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx

int(sinx)/(3+4cos^2x)\ dx a. log(3+4cos^2x)+C (b) 1/(2sqrt(3))tan^(-1)((cosx)/(sqrt(3)))+C (c) -1/(2sqrt(3))tan^(-1)((2"\ cos"x)/(sqrt(3)))+C (d) 1/(2sqrt(3))tan^(-1)((2"\ cos"x)/(sqrt(3)))+C

int(e^x(1+x))/(cos^2(x e^x))\ dx= (a) 2(log)_ecos(x e^x)+C (b) sec(x e^x)+C (c) tan(x e^x)+C (d) tan(x+e^x)+C

f(x)=cos^(-1)((-2-x^2)/(x^2+2x+2)),then (a) f(-1/2)=2tan^(-1)(1/2) (b) f(0)=2tan^(-1)1 (c) f(1)=2tan^(-1)2 (d) none of these

Evaluate int(3x^(2)"tan"(1)/(x)-x"sec"^(2)(1)/(x))dx .

The value of int_(-(pi/4)^(1/3))^((pi/4)^(1/3))(x^2)/((1+sin^2x^3)(1+e^(x^7)))dxi s (a) 1/3tan^(-1)sqrt(2) (b) 1/(3sqrt(2))tan^(-1)sqrt(2) (c) int_0^(pi/4)(sec^2dx)/(sec^2x+tan^2x) (d) 1/3int_0^(pi/4)(sec^2x dx)/(sec^2x+tan^2x)