[" (iii) "x^(20)],[" (iii) "sin(log x)]

(sin x)^(log x)

(i)tan (logx)" "(ii)log sec x" "(iii) log sin.(x)/(2)

int sin(log x) dx=........ (A) (x/2)[sin(log x) - cos(log x)] + c (B) (x/2)[sin(log x) + cos(log x)] + c (C) (x/2)[cos(log x) - sin(log x)] + c (D) (x/2)[cos(log x) - sin(log x)] + c

Differentiate the following functions with respect to x:( i )log sin x^(2)( ii) e^(sin(x^(2)))( iii) sin(e^(x^(2)))

In each of the following examples,verify that the given function is a solution of the differential equation.(iii) y=3 cos (log x)+4 sin(log x)

(d)/(dx)(sin x log x)

Differentiate the following with respect to x:x^(3)e^(x)sin x (ii) x sin x log x (iii) x^(n)log_(a)xe^(x)

Find (dy)/(dx)(i)y=e^(-x^(2))sin(log x)(ii)y=sqrt(a+sqrt(a+x))(iii)y=cos(log x)^(2)

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