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officialgraciela67
17.09.2019 •
Mathematics
When i was 2 years old,my brother was half of my age..now im 100,my brother is?
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Ответ:
Ответ:
Ответ:
1)![\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} } \approx 1.665](/tpl/images/1379/7191/75833.png)
2)![\frac{dy}{dx} = \pm \frac{1}{\sqrt{4\cdot x^{2}+7\cdot x +3}}](/tpl/images/1379/7191/45935.png)
3)![\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} } \approx 1.317](/tpl/images/1379/7191/66ff8.png)
Step-by-step explanation:
1)![\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} }](/tpl/images/1379/7191/8b005.png)
This integral can be solved easily by using algebraic substitutions:
Then, the integral can rewritten as follows:
Where
is the integration constant.
2) Let be
, then we obtain the expression by the definition of the derivative for the inverse hyperbolic cosine and the chain rule:
3)![\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} }](/tpl/images/1379/7191/1b7aa.png)
This integral can be solved by the following trigonometric substitutions:
Where
is the integration constant.