`int(sinx)/(3+4cos^2x)\ dx` `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(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(sin x)/(3+4cos^(2)x)dx log(3+4cos^(2)x)+C(b)(1)/(2sqrt(3))tan^(-1)((cos x)/(sqrt(3)))+C(c)-(1)/(2sqrt(3))tan^(-1)((2backslash cos x)/(sqrt(3)))+C(d)(1)/(2sqrt(3))tan^(-1)((2backslash cos x)/(sqrt(3)))+C

int(dx)/(4sin^(2)x+3cos^(2)x) is equal to a) (sqrt(3))/(4)tan^(-1)""((2tanx)/(sqrt(3)))+C b) (1)/(2sqrt(3))tan^(-1)""((tanx)/(sqrt(3)))+C c) (2)/(sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C d) (1)/(2sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C

int(1)/(1+cos^(2)x)dx=(1)/(sqrt(2))tan^(-1)((tan x)/(sqrt(2)))+c

int(x+2)/((x^(2)+3x+3)sqrt(x+1))dx is equal to a) (1)/(sqrt(3))tan^(-1)((x)/(sqrt(3)(x+1))) b) (2)/(sqrt(3))tan^(-1)((x)/(sqrt(3(x+1)))) c) (2)/(sqrt(3))tan^(-1)((x)/(sqrt(x+1))) d)None of these

If int(sin x)/(sin^(2)x+4cos^(2)x)dx=(1)/(sqrt(3))Tan^(-1)((g(x))/(sqrt(3)))+c then g(x)=.....

tan^(-1)((1)/(sqrt(3))(tan x)/(2))=(1)/(2)cos^(-1)((1+2cos x)/(2+cos x))

int_0^(pi//2)1/(2+cos\ x)dx equals 1/3tan^(-1)(1/(sqrt(3))) b. 2/(sqrt(3))tan^(-1)(1/(sqrt(3))) c. sqrt(3)tan^(-1)(sqrt(3)) d. 2sqrt(3)tan^(-1)sqrt(3)

The value of tan^(-1)((sqrt(3))/(2))+tan^(-1)((1)/(sqrt(3))) is equal to a) tan^(-1)((5)/(sqrt(3))) b) tan^(-1)((2)/(sqrt(3))) c) tan^(-1)((1)/(2)) d) tan^(-1)((1)/(3sqrt(3)))

If int (sinx)/(sin^(2)x+4cos^(2)x)dx=-(1)/(sqrt(3))tan^(-1)((sqrt(3))/f(x))+c ,then f(x) equals :