The integration of x^2 is equal to x 3/3 + C, where C is the constant of integration. The definite integral of x^2 with a lower limit a and upper limit b is b 3/3 - a 3/3.įAQs on Integration of x^2 What is Integration of x^2 in Calculus?.
We can evaluate the integral of x^2 using the power rule of integration. The integration of x 2 is equal to x 3/3 + C, where C is the integration constant. Hence, the definite integral of x^2 with a lower limit a and upper limit b is given by, b 3/3 - a 3/3, where a, b are real numbers. We can find the value of this definite integral by substituting the limits a and b into the formula of the integral of x^2 and subtracting them. Suppose, we have a definite integral of x^2 with a lower limit a and an upper limit b. The definite integral of a function is a real number that is given by substituting the limits (upper limit and lower limit) of the integration into the formula of the integral. Therefore, the question mark in the equation d(?)/dx = x 2 is equal to x 3/3 + C, where C is the integration constant. We add the integration constant to all indefinite integrals in calculus. So, the derivative of x 3/3 is equal to x 2. To get the derivative equal to x 2, we divide x 3 by 3. Using this formula, we know that the derivative of x 3 is equal to 3x 2. Using the power rule of differentiation, we know that d(x n)/dx = nx n-1. So, we need to find the question mark in the equation d(?)/dx = x 2. To determine the integration of x^2, we need to find the function whose derivative is equal to x 2. 
dx shows that the integration is with respect to the variable x. Mathematically, we can write the integration of x^2 as, ∫x 2 dx = x 3/3 + C, where 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.
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