The primitive of the function `f(x)= x | cos x|`, when `pi/2 lt x lt pi` is given by

The primitive of the function f (x) =(2x+1)|cosx| , when (pi)/(2)ltxltpi is given by

The primitive of the function f (x) =(2x+1)|cosx| , when (pi)/(2)ltxltpi is given by

The primitive of the function f(x)=(2x+1)|sin x| , when pi lt x lt 2 pi is

The primitive of the function f(x)=(2x+1)|sin x| , when pi lt x lt 2 pi is

The primitive of the function f(x)=(2x+1)|sin x| , when pi lt x lt 2 pi is

The range of the function f(x) = cos[x] where -pi/2 lt x lt pi/2 is

Find the intervals in which the function f(x)=sin x-cos x where 0 lt x lt 2pi is increasing.

Find the intervals in which the function f(x)=sin x-cos x where 0 lt x lt 2pi is decreasing.

Find the local maximum and local minimum value of the function f(x) = (2 cos x + x),"where 0" lt x lt pi

Find the local maxima and local minima of the functions: (i) f(x) = (sin x - cos x), " When " 0 lt x lt (pi)/(2) (ii) f(x) = (2 cos x + x), " when " 0 lt x lt pi