Solve: `|-2x^2+1+e^x+sinx|=|2x^2-1|+e^x+|sinx|,x in [0,2pi]dot`

Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,2pi]dot

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

Solve: x(e^x-1)(x+2)(x-3)^2lt=0.

Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0,2pi)dot

Draw the graph of the function f(x)=max dot {(sinx ,cos2x)},x in [0,2pi]dot Write the equivalent definition of f(x) and find the range of the function.

int_(0)^(pi/2)e^(-x) sinx dx is

Find the number of solution of the equation 1+e^(cot^2 x )=sqrt(2|sinx|-1)+(1-cos2x)/(1+sin^4x) for x in (0,5pi)dot

The maximum slope of the tangent to the curve y=e^(x)sinx,x in[0,2pi] is at