Integral of x(x+1)/(x-2)(x+2) (partial fraction decomposition)

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00:00 Add +4-4 on the numerator
00:22 Split into two integrals
01:03 Partial fraction decomposition for (x+4)/(x-2)(x+2)
02:42 Equation system with A and B
02:57 Find the value of B
03:41 Find the value of A
04:07 Rewrite expression (x+4)/(x-2)(x+2)
05:13 Integrate 1, 1/(x-2) and 1/(x+2)
05:28 Add integration constant +C
05:36 Final answer!
05:40 See more!
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► Integration by parts: • 🧑‍🔧 Integration by parts
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