MENU｜四則演算｜指数，累乗根｜関数｜関係｜極限，微積分｜応用例
極限，微積分
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- \(\displaystyle \sum_{i=1}^{n} a_{i}\)
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The sum of [ei] (sub) [ai], [ai] running from one to [en].
- \(\displaystyle \prod_{i=1}^{n} a_{i}\)
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The product of [ei] (sub) [ai], [ai] running from one to [en].
- \(\displaystyle \lim_{ n \to \infty } \frac{1}{n}(a_{1}+ \cdots + a_{n})\)
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The limit as [en] tends to infinity of one over [en] times the sum of the [ei]'s from sub one to sub [en].
- \(\displaystyle \frac {\mathrm{d} y}{\mathrm{d} x}\)
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The derivative of [wai] with respect to [eks].
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[di:] [wai] over [di:] [eks].
- \(\displaystyle \frac {\partial y}{\partial x}\)
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The partial derivative of [wai] with respect to [eks].
- \(\displaystyle \int f \, \mathrm{d} x\)
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The integral [ef] [di:] [eks].
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The integral of [ef] with respect to [eks].
- \(\displaystyle \iint z \, \mathrm{d} x \mathrm{d} y\)
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The double integral of [zi:] with respect to [eks] (and) [wai].
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The integral of [zi:] [di:] [eks] times [di:] [wai].
- \(\displaystyle \int_{0}^{\displaystyle \frac{\pi}{2}}(1+\cos x) \, \mathrm{d} x\)
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The integral from zero to pi over two of the quantity one plus cosine of [eks] with respect to [eks].
極限，微積分