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Find the Integral x^2

Problem

(∫_^)(x2*d(x))

Solution

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

  2. Apply the formula by setting n=2

  3. Add one to the exponent to get 2 + 1 = 3$.

  4. Divide the expression by the new exponent, which is 3

  5. Include the constant of integration C

Final Answer

(∫_^)(x2*d(x))=(x3)/3+C


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