If `I=int(dx)/(sin(x-(pi)/(3))cos x),` then I equals

I=int(dx)/(sin x cos^(3)x)

If I=(2)/(pi)int_(-pi//4)^(pi//4)(dx)/((1+e^(sin x))(2-cos 2 x)) then 27 I^(2) equals __________ .

Let I=int(cos^(3)x)/(1+sin^(2)x)dx , then I is equal to (where c is the constant of integration )

Let I=int_(0)^(2pi)(xsin^(8)x)/(sin^(8)x+cos^(8)x)dx , then I is equal to :

Let I=int_(0)^((pi)/(2))((sin x)/(x))dx, then

I=int(sin x)/(cos x)dx

If I_(I)=int_(0)^( pi/2)cos(sin x)dx,I_(2)=int_(0)^((pi)/(2))sin(cos x)d, and I_(3)=int_(0)^((pi)/(2))cos xdx then find the order in which the values I_(1),I_(2),I_(3), exist.

I=int_(0)^(2 pi)cos^(-1)(cos x)dx

If int_(0)^(pi//4) (x sin x)/( cos^(3) x) dx= (pi)/(4) +A , then A is equal to

If I_(n)=int_(0)^(pi)(1-sin2nx)/(1-cos2x)dx then I_(1),I_(2),I_(3),"….." are in