Evaluate: (i) `intx^x(1+logx)\ dx` (ii) `intx^(2x)\ (1+logx)\ dx`

Evaluate: intxe^(x^2)dx

Evaluate: int(logx)/((1+logx)^2)\ dx

Evaluate : (i) int(logx)/(x)dx (ii) int(sec^(2)(logx))/(x)dx (iii) (e^(tan^(-1)x))/((1+x^(2)))dx (iv) int(sinsqrt(x))/(sqrt(x))dx

Evaluate: intx/(x^2+x+1)\ dx

int(x^(x))^(2)(1+logx)dx=

Evaluate: intx/((x+1)(x^2+1))\ dx

Evaluate: intx/((x^2+1)(x-1))\ dx

Evaluate: intx ln(1+x)dx

Evaluate: intx/((x-1)^2(x+2))\ dx