`T h ev a l u eof(pi^2)/(1n3)int_(7/6)^(5/6)sec(pix)dxi s____`

int_(0)^(pi//6)sec^(2)xdx

The value of : int_(pi//6)^(5pi//6)sqrt(4-4sin^(2)t) dt , is

Value of int_(pi/6)^( pi/3)sec^(2/3)x*cos ec^(4/3)xdx is

Let cos(pi)/(7),cos(3 pi)/(7),cos(5 pi)/(7) are the roots of equation 8x^(3)-4x^(2)-4x+1=0 Q.The value of sec((pi)/(7))+sec((3 pi)/(7))+sec((5 pi)/(7)) is

int_(pi//6)^(pi//4)(sec^(2)x+cos^(2)x)dx=

int_(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(1=x^2)))/(e^x+1)dxi se q u a lto int_(-pi/6)^(pi/6)(sec^2x)/(e^(tanx+1))dx (b) int_0^(pi/6)sec^2xdx pi/2int_(-pi/6)^(pi/6)(sec^2xdx)/(e^(tanx)+1) (d) pi/(2sqrt(3))

The valueof int_((pi)/(6))^((pi)/(3))e^(sec^(2)x)(sinx)/(cos^(3)x)dx is equal to

int csc(x-(pi)/(3))sec(x-(pi)/(6))dx