" (xii) "quad x rarr(pi)/(2)log(1-sin^(3)x)/(cos^(2)x)

lim_ (x rarr (pi) / (2)) (1-sin ^ (3) x) / (cos ^ (2) x)

lim_ (x rarr (pi) / (2)) - (1-sin ^ (3) x) / (3cos ^ (2) x)

lim_ (x rarr (pi) / (2)) (sin2x) / (cos x)

lim_(x rarr0)[ln(1+sin^(2)x)cot ln^(2)(1+x)]

lim_(x rarr0)(sin(6x^(2)))/(ln cos(2x^(2)-x))

lim_ (x rarr (pi) / (2)) (1- (sin x) ^ (sin x)) / (cos ^ (2) x) =

Evaluate the following: lim_(xto pi/2)log (1-sin^3x)/cos^2x

lim_ (x rarr (pi) / (2)) tan x log sin x

lim_(x rarr pi/3) (sin (pi/3-x))/(2 cos x-1) =

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C