Evaluate the Integral integral of 1 with respect to x

Problem

(∫_^)(1*d(x))

Solution

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

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

3. Recognize that 1 can be written as x^0

4. Integrate by increasing the power of x by 1 and adding the constant of integration C

Final Answer

(∫_^)(1*d(x))=x+C

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