" 3.) (i) "x^(3)(log x)^(2)

I=int((x^(3)+x^(2))(x+log x)^(2))/(x^(3))dx

Find the value of x satisfying the equation ((log)_(3)3x3+(log)_(x)3x3)log_(3)x^(3)+((log)_(3)x/33+(log)_(x)3/x3)log_(3)x^(3)=2

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

3^(log_(3)log sqrt(x))-log x+(log x)^(2)-3=0

Evaluate: (i) int2x sec^(3)(x^(2)+3)tan(x^(2)+3)dx (ii) int((x+1)/(x))(x+log x)^(2)dx

Solve for x : 3^(log x)-2^(log x) =2^(log x+1)-3^(log x-1)

Find the value of x satisfying the equation ((log)_3 (3x)^(1/3)+(log)_x(3x)^(1/3))dot(log)_3x^3+((log)_3(x/3)^(1/3)+(log)_x(3/x)^(1/3))dot(log)_3x^3=2

(log (x^(3) + 3x^(2) + 3x + 1))/(log (x^(2) + 2x + 1)) is equal to