[Toán 12] tính nguyên hàm

N

nguyenbahiep1

[laTEX]\int \frac{dx}{x(x^2+1)} = \int ( \frac{1}{x} - \frac{x}{x^2+1})dx \\ \\ \int \frac{1}{x}dx - \int \frac{xdx}{x^2+1} \\ \\ ln |x| -\frac{1}{2}\int \frac{d(x^2+1)}{x^2+1} \\ \\ ln|x| - \frac{1}{2}.ln(x^2+1) +C[/laTEX]

[laTEX] \int \frac{dx}{x.(x^5+1)} = \int \frac{dx}{x} - \int \frac{x^4dx}{x^5+1} \\ \\ ln|x| - \frac{1}{5} ln|x^5+1| +C[/laTEX]
 
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