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Evaluate the definite integral, if it exists [tex] \displaystyle \int \limits _{ - 1}^{1} \dfrac{x + 1}{(x + 2)^{4} } dx[/tex]

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Respuesta :

Answer:

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

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