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Question-219182




Question Number 219182 by skcusb last updated on 20/Apr/25
Commented by MathematicalUser2357 last updated on 22/Apr/25
∫y^2 (y+2)^(1/4) dy
$$\int{y}^{\mathrm{2}} \left({y}+\mathrm{2}\right)^{\frac{\mathrm{1}}{\mathrm{4}}} {dy} \\ $$
Answered by MrGaster last updated on 20/Apr/25
Commented by Frix last updated on 20/Apr/25
Yes. Factorizing looks better:  =(4/(585))(45x^2 −80x+128)(x+2)^(5/4) +C
$$\mathrm{Yes}.\:\mathrm{Factorizing}\:\mathrm{looks}\:\mathrm{better}: \\ $$$$=\frac{\mathrm{4}}{\mathrm{585}}\left(\mathrm{45}{x}^{\mathrm{2}} −\mathrm{80}{x}+\mathrm{128}\right)\left({x}+\mathrm{2}\right)^{\frac{\mathrm{5}}{\mathrm{4}}} +{C} \\ $$

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