`int x^nlogx dx`

Evaluate: intx^nlogx\ dx

int x.sin x dx

Evaluate: (i) int(e^x+1)/(e^x+x)\ dx (ii) int1/(xlogx)\ dx

int x. a^(x) dx

int x/(a+x) dx

Evaluate each of the following integrals: int3^x\ dx (ii) int1/(x^2 3)\ dx (iii) int3^(2\ (log)_3x)\ dx (iv) int(log)_xx\ dx

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

int " x dx "

1/4 int_(-1)^0 (x+2)dx-1/4 int_-1^0 x^2 dx

Evaluate: int(x+sinx)\ dx