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Question Number 188035 by Michaelfaraday last updated on 25/Feb/23

$$solve$$$$\int \frac{x^2}{{(a+bx)}^2}dx$$

Answered by MJS_new last updated on 25/Feb/23

$$\int \frac{x^2}{{(a+bx)}^2}dx=$$$$=\frac{1}{b^2}\int dx-\frac{2a}{b^2}\int \frac{dx}{a+bx}+\frac{a^2}{b^2}\int \frac{dx}{{(a+bx)}^2}=$$$$=\frac{x}{b^2}-\frac{a^2}{b^3(a+bx)}-\frac{2a}{b^3}\ln \mid a+bx\mid +C$$

Commented by Michaelfaraday last updated on 01/Mar/23

$$thankssir$$

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