1) int(9x+2)dx/(2x^2+4)=1/2int(9x+2)dx/(x^2+2)=9/2int xdx/(x^2+2)+2/2int dx/(x^2+2)=9/4int 2xdx/(x^2+2) + int dx/(x^2+2)=9/4 int d(x^2+2)/(x^2+2) + 1/2arctgx/sgrt2=9/4 ln (x^2+2) + 1/2 arctg x/sgrt2+c

2) int arccos^4xdx/(1-x^2)^0,5=int arccos^4xdx/sgrt(1-x^2)=-int u^4sgrt(1-x^2)du/sgrt(1-x^2)=-int u^4du=-u^5/5=-arccos^5x/5