Find the Integral dx

Problem

(∫_^)(d(x))

Solution

1. Identify the integrand, which is the constant function 1

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

3. Substitute n=0 into the rule, since 1=x0

4. Simplify the expression to find the antiderivative.

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

Final Answer

(∫_^)(d(x))=x+C

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