Find the interval in which the function `f(x) = sin(logx) - cos(logx)` increase

Find the interval in which the function f(x)=sin(log x)-cos(log x) increase

Find the intervals in which the function f(x) = sin^(4) x + cos^(4) x AA x in [0, pi//2] is increasing and decreasing.

Find the interval of increase of the function f(x) = 3x + cos x

Find the intervals in which the function f(x) = sin x +cos x,x in [0, 2pi] is (i) strictly increasing, (ii) strictly decreasing.

Find the intervals in which the function: f(x) = sin^4 x + cos^4x, 0 lex le pi/2 is strictly increasing or decreasing.

∫[sin(logx)+cos(logx)]dx

Find the interval in which function f(x)=sin x+cos x is strictly increasing or decreasing.

int sin(logx)+cos(logx)dx=

Find the intervals in which the function f given by f(x)=sin x + cos x(0 le x le 2 pi) is increasing