Find the Integral x^5

Problem

(∫_^)(x5*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=5

3. Add one to the exponent to get 5 + 1 = 6$.

4. Divide the expression by the new exponent, which is 6

5. Include the constant of integration C

Final Answer

(∫_^)(x5*d(x))=(x6)/6+C

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