Practice question · Put in order
Order the steps of evaluating a definite integral using the Fundamental Theorem.
- Report the resulting number
- Evaluate F at the upper limit b
- Find any antiderivative F of the integrand
- Evaluate F at the lower limit a
- Subtract to form F(b) - F(a)
Hints
- Nothing can be evaluated before an antiderivative exists.
- The subtraction has a fixed direction that the ordering must respect.
Show the answer
- Find any antiderivative F of the integrand
- Evaluate F at the upper limit b
- Evaluate F at the lower limit a
- Subtract to form F(b) - F(a)
- Report the resulting number
Why
Antiderivative first, then the two endpoint values, then the subtraction in the order upper minus lower. Because any antiderivative works, the constant C cancels in the subtraction and never needs writing down.
Practise The Fundamental Theorem of Calculus
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