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Answers for “微积分基本定理如何证明以这种方式计算定积分是合理的?”

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The final exact value obtained for the displayed arc-length integral is 20827\frac{208}{27}. This is calculated by multiplying the outside constant 827\frac{8}{27} by the evaluated bracket difference 26.

Conditions: The integral has been fully substituted and evaluated up to the step 827⋅26\frac{8}{27}\cdot 26.; The arithmetic simplification 8⋅26=2088 \cdot 26 = 208 is performed exactly.