" 12."(i)int(log x)^(2)dx

int(log x)^(3/2)/(x)dx

int(log(x^(2)))/(x)dx=

int x^(2)(log x)^(2)dx

(i) int (log x)/x dx (ii) int (log x)^2/x dx

Evaluate: (i) int(sin2x)/((a+b cos2x)^(2))dx (ii) int(log x^(2))/(x)dx

Evaluate: (i) int(log x)/(x)dx( ii) int(log(1+(1)/(x)))/(x(1+x))dx

Obtain reduction formula for If I_(n)=int (log x) ^(n)dx, then show that I_(n) =x (log x)^(n) -nI_(n-1), and hence field int (log x) ^(4) dx.

Evaluate: (i) int tan^(3)x sec^(2)xdx( ii) int((log x)^(3))/(x)dx

Evaluate: (i) int(1)/(x)(log x)^(2)dx (ii) int sin^(5)x cos xdx