" 5."int log(1+cos x)dx

int sin x log(cos x)dx

int_(0)^(pi) log(1 + cos x)dx .

int log(x+1)^(x+1)dx

int (log x)^(5)dx=

int(log(1+cos x)-x tan((x)/(2)))dx

int_(0)^( pi)log(1+cos x)dx

Evaluate the followig integrals (i) int xe^x dx " " (ii) int x cos x dx " " (iii) int log x dx " " (iv) int sin^(-1)x dx .

Integrate: int e^(x)( tan x- log cos x)dx