Evaluate: `int_(-pi/4)^(pi/4)(x^9-3x^5+7x^3-x+1)/(cos^2x)dx`

Evaluate of each of the following integrals 15) : int_(-pi/4)^( pi/4)(x^(11)-3x^(9)+5x^(7)-x^(5)+1)/(cos^(2)x)dx

int_(-pi//4)^(pi//4)(e^(x)x sin x)/(e^(2x)-1)dx=

Evaluate: int_(-pi/4)^( pi/4)(x+pi/4)/(2-cos2x)dx

int_(-pi//2)^(pi//2) (5sin^3 x+8sinx+4 cos^2x) dx

int_(-pi//4)^(pi//4)(e^(x)(x^(3)sinx))/(e^(2x)-1)dx equals

Evaluate int_(-pi/2)^(pi/2)(sin2x)/(1+cos^3x)dx

Evaluate: int_(-pi)^( pi)((2x)(1+sin x)/(1+cos^(2)x))dx

Evaluate: int_(-(3 pi)/(2))^(-(pi)/(2))[(x+pi)^(3)+cos^(2)(x+3 pi)]dx

Evaluate : int_(pi/3)^( pi/3)(sin x+cos x)/(sqrt(sin2x))dx

int_(-(pi)/(4))^((pi)/(4))(2 pi+sin2 pi x)/(2-cos2x)dx