Evaluate the Integral integral of b^2-5b+5 with respect to b

Problem

(∫_^)(b2−5*b+5*d(b))

Solution

1. Identify the integral as a sum of power functions and a constant.

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

3. Integrate each term individually.

4. Add the constant of integration C to the final expression.

Final Answer

(∫_^)(b2−5*b+5*d(b))=(b3)/3−(5*b2)/2+5*b+C

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