Evaluate the definite integral, if it exists

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

20

step-by-step explanation: