" (v) "cos x sqrt(1-cos2x)

int (dx)/(cos x sqrt(1+cos 2x+ sin 2x))= _______+C, (0 lt x lt (pi)/(4))

lim_ (x rarr0) ((sqrt (1-cos x + sqrt (1-cos x + sqrt (1-cos x + ... oo))) x ^ (2)) / ()) - 1

If x in (pi, 2pi) , prove that ((sqrt(1+cosx))+(sqrt(1-cos x)))/((sqrt(1+cos x)) -sqrt(1-cos x)) = cot(pi/4 +x/2)

If tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))= ........................... A) (2 sin x)/(sqrt(sin2x)) B) (2 cos x)/(sqrt(cos2x)) C) (2 cos x)/(sqrt(sin2x)) D) (2 sin x)/(sqrt(cos2x))

Evaluate : (i) intsinxsqrt(1-cos2x)dx (ii) int(cos2x)/(sqrt(1+cos4x))dx

Differentiate the following w.r.t.x. tan^(-1)((sqrt(1 - cos 2x))/sqrt(1 + cos 2x))

(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx

(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx