1029-3x^(3)

Evaluate -3x^(2),-3x^(3),3x^(2),(-3x)^(2), and (-3x)^(3) if x = 2, and also if x=-2.

Simplify: (3x^(3)-2x^(2)-3x-3)-(x^(3)-2x^(2)+3x-4)

Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^(2))) where |x|<(1)/(sqrt(3))* Then a value of y is : (1)(3x-x^(3))/(1-3x^(2))(2)(3x+x^(3))/(1-3x^(2))(3)(3x-x^(3))/(1+3x^(2))(4)(3x+x^(3))/(1+3x^(2))

Evaluate lim_(x to infty) (1+x-3x^3)/(1+x^2+3x^3)

If int f(x)dx=psi(x), then int x^(5)f(x^(3))dxint x^(5)f(x^(3))dx(1)/(3)x^(3)psi(x^(3))-3int x^(3)psi(x^(3))dx+C(2)(1)/(3)x^(3)psi(x^(3))-int x^(3)psi(x^(3))dx+C(3)(1)/(3)x^(3)psi(x^(3))-int x^(3)psi(x^(3))dx+C(4)(1)/(3)[x^(3)psi(x^(3))-int x^(2)psi(x^(3))dx]+C

tan^(-1)((3x-x^(3))/(1-3x^(2)))

Tan^(-1)((3x-x^(3))/(1-3x^(2)))=

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