`inta^(3log_ax)dx`

Evaluate the following integrals: int1/(sqrt(x))\ dx (ii) int1/(x^3)\ dx (iii) inta^(3\ (log)_a x)\ dx

inte^(3 log x ) (x^(4)+ 1) ^(-1) dx is equal to

int_a^b logx/x dx

Evaluate: intx^3log2x\ dx

Evaluate: (i) inte^(2x-3)\ dx (ii) inta^(3x+2)\ dx

Evaluate inta^(3x+3)\ dx, agt0

int_a^b logx/x^2dx

If int_a^b(f(x)-3x)dx=a^2-b^2 then the value of f(pi/6) is ___

If int_a^b(f(x)-3x)dx=a^2-b^2 then the value of f(pi/6) is ___

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