Evaluate the Integral integral of x^9 with respect to x

Problem

(∫_^)(x9*d(x))

Solution

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

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

3. Substitute n=9 into the formula.

4. Simplify the exponent and the denominator by calculating 9 + 1 = 10$.

5. Add the constant of integration C to represent the family of antiderivatives.

Final Answer

(∫_^)(x9*d(x))=(x10)/10+C

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