Find the Integral x^7

Problem

(∫_^)(x^7*d(x))

Solution

1. Identify the form of the integral, which is a power of x in the form x^n

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=7 into the formula to get (x^(7+1))/(7+1)+C

4. Simplify the exponent and the denominator.

Final Answer

(∫_^)(x^7*d(x))=(x^8)/8+C

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