Difference between revisions of "Logarithm"
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(Created page with "The logarithm is defined by the formula $$\log(x) = \displaystyle\int_1^x \dfrac{1}{t} dt.$$") |
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The logarithm is defined by the formula | The logarithm is defined by the formula | ||
$$\log(x) = \displaystyle\int_1^x \dfrac{1}{t} dt.$$ | $$\log(x) = \displaystyle\int_1^x \dfrac{1}{t} dt.$$ | ||
| + | |||
| + | =Properties= | ||
| + | <div class="toccolours mw-collapsible mw-collapsed"> | ||
| + | <strong>Proposition:</strong> $\displaystyle\int \log(z) dz = z \log(z)-z$ | ||
| + | <div class="mw-collapsible-content"> | ||
| + | <strong>Proof:</strong> █ | ||
| + | </div> | ||
| + | </div> | ||
Revision as of 05:37, 11 January 2015
The logarithm is defined by the formula $$\log(x) = \displaystyle\int_1^x \dfrac{1}{t} dt.$$
Properties
Proposition: $\displaystyle\int \log(z) dz = z \log(z)-z$
Proof: █
