" 1."x^(sin x)

(cos x)/(1-sin x)=(1+cos x+sin x)/(1+cos x-sin x)

int(1-sin x)/(sin x(1+sin x))dx

y= ( 1+sin x)/( 1-sin x)

sqrt((1+sin x)/(1-sin x))

Maximum value of cos x((cos x)/(1-sin x)+(1-sin x)/(cos x))

int e^(x)(1-sin x)/(1+sin x)=-e^(x)cot((x)/(2))+c

The values of x in [-2 pi,2 pi], for which the graph of the function y=sqrt((1+sin x)/(1-sin x))-sec x and y=-sqrt((1-sin x)/(1+sin x)) coincide are

" (1) "int(1+sin x)/(1-sin x)dx

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