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leximae5391
30.12.2021 •
Mathematics
Evaluate the definite integral, if it exists ![\displaystyle \int \limits _{ - 1}^{1} \dfrac{x + 1}{(x + 2)^{4} } dx](/tpl/images/2608/2664/5d329.png)
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Ответ:
0.1235 to the nearest ten thousandth.
Step-by-step explanation:
First write it in partial fraction form:
(x + 1)/(x + 2)^4 = 1 / (x + 2)^3 - 1 / (x + 2)^4
Integrating:
gives 1/ 3(x + 2)^3 - 1/ 2(x + 2)^2
Evaluating between the limits -1 and 1:
= -0.0432 - (-0.166666666)
= 0.1234666
Ответ:
Step-by-step explanation: