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∫(x3+9)x2+3x+2dx
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Solution
x22−3x+8ln|x+1|−ln|x+2|+C
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∫x3+9x2+3x+2dx
Divisão longa x3+9x2+3x+2:x−3+7x+15x2+3x+2
=∫x−3+7x+15x2+3x+2dx
Aplicar a regra da soma: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx