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

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

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

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

The set of all x satisfying the equation x^(log)_3x^2+((log)_3x)^(2-10)=1/(x^2)i s 1 (b) 2 (c) 3 (d) 0

Solve the following equations : (i) log_(x)(4x-3)=2 (ii) log_2(x-1)+log_(2)(x-3)=3 (iii) log_(2)(log_(8)(x^(2)-1))=0 (iv) 4^(log_(2)x)-2x-3=0

Solve the following equations : (i) log_(x)(4x-3)=2 (ii) log_2)(x-1)+log_(2)(x-3)=3 (iii) log_(2)(log_(8)(x^(2)-1))=0 (iv) 4^(log_(2)x)-2x-3=0

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