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+2 votes
10.1k views
in Mathematics by (33.6k points)
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The integral  

\(\int\cfrac{1}{^4\sqrt{(x-1)^3(x+2)^5}}dx\) 

∫ 1/4√(x-1)3(x+2)5 dx is equal to :

(where C is a constant of integration)

(1) \(\cfrac{3}{4}\left(\cfrac{x+2}{x-1}\right)^{1/4}+C\)

(2) \(\cfrac{3}{4}\left(\cfrac{x+2}{x-1}\right)^{5/4}+C\)

(3) \(\cfrac{4}{3}\left(\cfrac{x-1}{x+2}\right)^{1/4}+C\)

(4) \(\cfrac{4}{3}\left(\cfrac{x-1}{x+2}\right)^{5/4}+C\)

1 Answer

+1 vote
by (38.6k points)
selected by
 
Best answer

Correct answer is: (3) \(\cfrac{4}{3}\left(\cfrac{x-1}{x+2}\right)^{1/4}+C\)

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