The value of the integral `int_0^1(dx)/(x^2+2xcosalpha+1)` is equal to (a)`sinalpha` (b) `alphasinalpha` (c)`alpha/(2sinalpha)` (d) `alpha/2sinalpha`

The value of the integral int_-2^(2) |1-x^2|dx is

The value of the integral int _0^1 1/(1+x^2)^(3/2) dx is

The value of the integral int_0^(2a)[(f(x))/({f(x)+f(2a-x)})]dx "is equal to "a

lim_(alphato0)(sin(alpha^(n)))/((sinalpha)^(m))

The value of the integral int_0^1sqrt((1-x)/(1+x))dx is (a) pi/2+1 (b) pi/2-1 (c) -1 (d) 1

If pi,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to 2/(sinalpha) (b) -2/(sinalpha) (c) 1/(sinalpha) (d) -1/(sinalpha)

If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal to (a)4 (b) 2sin^2alpha (c) -4sin^2alpha (d) 4sin^2alpha

(sinalpha+cosecalpha)^(2)+(cosalpha-secalpha)^(2)-tan^(2)alpha-cot^(2)alpha=?

If int_0^1 e^(x^2)(x-alpha)dx=0 , then (a) alphalt2 (b)= alphalt0 (c)="" 0ltalphalt1 (d)= alpha="0

The value of the integral int_0^(1/2)(1+sqrt(3))/(((x+1)^2(1-x)^6)^(1/4))dx is ______.