Find the Antiderivative x^3

Problem

(∫_^)(x3*d(x))

Solution

1. Identify the power rule for integration, which states that for any power n≠−1 the integral of xn is (x(n+1))/(n+1) plus a constant of integration.

2. Apply the formula by setting n=3

3. Add one to the exponent to get 3 + 1 = 4$.

4. Divide the expression by the new exponent, which is 4

5. Include the constant of integration C to represent the family of all possible antiderivatives.

Final Answer

(∫_^)(x3*d(x))=(x4)/4+C

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