(cos x)/(3-4sin^(2)x)

int(tan^(2)x+(3cos x+4)/(sin^(2)x))dx

Find the number of solutions of the equation 2cos3x(3-4sin^(2)x)=1 in [0,2 pi]

int(2cos2x)/(3+4sin2x)

Find the period of (5 sin x + 3 cos x)/(4 sin 2x + 5 cos x)

Let Delta(x)=|(3+2sin^(4)x,2cos^(4)x,sin^(2)2x),(2sin^(4)x,3+2cos^(4)x,sin^(2)2x),(2sin^(4)x,2cos^(4)x,3+sin^(2)2x)| then int_(-pi//2)^(pi//2)x Delta(x)dx equals

If int _(0) ^(x) (x ^(3) cos ^(4) x sin ^(2)x)/(pi^(2) -3pix + 3x ^(2))dx = lamda int _( 0)^(pi//2)sin ^(2) x dx, then the value of lamda is:

int(3sin x-2)cos x(dx)/(5-cos^(2)x-4sin x)