Question:
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Step-by-step explanation:

we would like to integrate the following integration:

notice that you can simplify the integrand

recall that,

thus substitute:

remove parentheses:

factor out 2:

we can use algebraic identity i.e

a²-b²=(a+b)(a-b) to factor the denominator

reduce fraction:

distribute:

use sum integration formula:

recall integration rules:

and we of course have to add constant of integration

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step-by-step explanation:

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb