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Question Number 188034 by Michaelfaraday last updated on 25/Feb/23

$$solve$$$$\int \frac{x^2+3}{x^6(x^2+1)}dx$$

Answered by MJS_new last updated on 25/Feb/23

$$\int \frac{x^2+3}{x^6(x^2+1)}dx=$$$$=-2\int \frac{dx}{x^2+1}+2\int \frac{dx}{x^2}-2\int \frac{dx}{x^4}+3\int \frac{dx}{x^6}=$$$$=-2\arctan x-\frac{2}{x}+\frac{2}{3x^3}-\frac{3}{5x^5}+C$$

Commented by Michaelfaraday last updated on 01/Mar/23

$$thankssir$$

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