The problem
Evaluate the integral of −x + 6 from x = 1 to x = 4.
Answer
Answer: 21/2
Worked solution
- Antiderivative: F(x) = −1/2x2 + 6x.
- F(4) = 16 and F(1) = 5.5.
- F(4) − F(1) = 21/2
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Answer: 21/2