int_(-(pi)/(n)/4)^( pi/4)ln(sin x+cos x)dx

If I_(1) = int_(0)^(pi//2)ln (sin x)dx , I_(2)=int_(-pi//4)^(pi//4)ln (sin x + cos x)dx , then :

Evaluate: int_(-pi/4)^( pi/4)log(sin x+cos x)dx

int_(0)^( pi/4)(sin x-cos x)dx

Prove that int_(-pi/4)^( pi/4)log(sin x+cos x)backslash dx=-(pi)/(4)backslash log2

Write the value of int_(-pi//4)^(pi//4) sin^5 x cos x dx

Evaluate: int_(-(pi)/(4))^(n pi-(pi)/(4))|sin x+cos x|dx

int_(pi//4) ^(3pi//4) dx/((sin x - 2 cosx)(2sin x + cos x))=

[int_(-pi/4)^( pi/4)log(cos x+sin x)dx=(1)/(2)],[[" 1) "pi log2," 2) "-pi log2," 3) "-(pi)/(4)log2," 4) "-(pi)/(2)log2]]

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