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" 5."(x+(1)/(x))^(6)...

" 5."(x+(1)/(x))^(6)

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int (5(x^(6)+1))/(x^(2)+1)dx=....

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int(5(x^(6)+1))/(x^(2)+1)dx

Solve by factorization: (x+1)/(x-1)-(x-1)/(x+1)=(5)/(6),x!=1,-1

Given x>1 and log_(x)(x^(x^(2)))+log_(x)(x^(-5x))=log_(x)((1)/(x^(6)))