Evaluate the Integral integral of 2x-3 with respect to x

Problem

(∫_^)(2*x−3*d(x))

Solution

1. Identify the integral as a sum of two terms, which allows for the use of the sum rule for integration.

2. Apply the power rule to the first term, 2*x which states that (∫_^)(xn*d(x))=(x(n+1))/(n+1)

3. Integrate the constant term, −3 which results in −3*x

4. Add the constant of integration, C to represent the family of antiderivatives.

5. Simplify the resulting expression by canceling the coefficients.

Final Answer

(∫_^)(2*x−3*d(x))=x2−3*x+C

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