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研究所、轉學考(插大)-微積分
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100年 - 100 國立中興大學_轉學考招生試題：A組聯招群：微積分#110064
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5. The integral
In x dx =_______
其他申論題
1. By the limit definition, _______
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2. The mathematical constant e = 2.71828... is sometimes called Euler's number, and can be defined as a limit of _______
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3. The Maclaurin's series for is ________
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4. In the Composite Limit Theorem, , the least required sufficient conditions are that _______
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6. The integralx =______
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7.=_______
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8. The temperature on the surface of a metal plate is T(x, y) =. The direction of the greatest increase in heat from point (3, 4) is_______； The rate of increase in the direction from point (3, 4) to point (6, 8) is _______.
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9. If a curve is given by , where 0≤ t ≤4π and b is a constant, the length of the curve is ________
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1. Find the average of the function f(x) = x sin x between x =0 and x=π.
#471526
2. The eror functon erf(x) is defined as erf(x)=. Use this formula to find the integral .
#471527
In x dx =_______
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In x dx =_______