Therefore, the integral of x^2 gives the area under the curve of the function f(x) = x 2. The integral of a function gives the area under the curve of the function. The integration of x 2 is equal to x 3/3 + C. Integration of x^2 Using Integration by Parts We will also solve examples and determine integrals of functions involving x 2 for a better understanding of the concept. Let us calculate the integration of x 2 using different methods of integration including the integration by parts method and power rule method of integration. The formula for the integral of x 2 is written as ∫x 2 dx = x 3/3 + C. We can calculate this integral using the power rule of integration. To determine the integration of x^2 (that is, integral of x 2), we need to find an arbitrary function whose derivative is x 2. Integration is the reverse process of differentiation and that is why it is also called the process of antidifferentiation.

As we proceed with the evaluation of the integral of x^2, let us recall the meaning of integration. The integration of x^2 is equal to x 3/3 + C, where C is the constant of integration.