Integral of 30x*3dx dx

1. The integral of a constant times a function is the constant times the integral of the function:

   $$\int 3 \cdot 30 x\, dx = 3 \int 30 x\, dx$$

   1. The integral of a constant times a function is the constant times the integral of the function:

      $$\int 30 x\, dx = 30 \int x\, dx$$

      1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$:

         $$\int x\, dx = \frac{x^{2}}{2}$$

      So, the result is: $15 x^{2}$

   So, the result is: $45 x^{2}$

2. Add the constant of integration:

   $$45 x^{2}+ \mathrm{constant}$$

The answer is:

$$45 x^{2}+ \mathrm{constant}$$