Evaluate the Integral integral of 10x-3 with respect to x

Problem

(∫_^)(10*x−3*d(x))

Solution

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

2. Apply the power rule to the first term, 10*x which states that (∫_^)(xn*d(x))=(x(n+1))/(n+1)

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

4. Combine the results and add the constant of integration C

5. Simplify the coefficient of the first term by dividing 10 by 2

Final Answer

(∫_^)(10*x−3*d(x))=5*x2−3*x+C

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