Find the Antiderivative x^2

Problem

(∫_^)(x^2*d(x))

Solution

1. Identify the power of the variable x which is n=2

2. Apply the power rule for integration, which states that (∫_^)(x^n*d(x))=(x^(n+1))/(n+1)+C for any n≠−1

3. Substitute n=2 into the formula to get (x^(2+1))/(2+1)+C

4. Simplify the expression by performing the addition in the exponent and the denominator.

Final Answer

(∫_^)(x^2*d(x))=(x^3)/3+C

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