[" 4."sin(log x)],[" 7."sin^(2)(2x+1)]

log sin sqrt(x^(2)+1)

If f '(x) = sin (log x) and y = f ((2x + 3)/(3 - 2x )), then (dy)/(dx) at x =1 is equal to : a) 6 sin log (5) b) 5 sin log (6) c) 12 sin log (5) d) 5 sin log (12)

log(sin x^2)

Solev (sin^(2) 2x+4 sin^(4) x-4 sin^(2) x cos^(2) x)/(4-sin^(2) 2x-4 sin^(2) x)=1/9 .

Solve (sin^(2) 2x+4 sin^(4) x-4 sin^(2) x cos^(2) x)/(4-sin^(2) 2x-4 sin^(2) x)=1/9 .

(dy)/(dx)-x sin^(2)x=(1)/(x log x)

The range of sin log [(sqrt(4-x^(2))/(1-x))] is

int(ln(1+sin^(2)x))/(cos^(2)x)dx

The value of int _(sqrt ( log 2 )) ^(sqrt( log 3 )) (x sin x ^(2))/( sin x ^(2) + sin (log 6 -x ^(2)))dx is