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

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

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

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

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

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

(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))dx (iii) int ((x^(4))/(1+x^(2)))dx , (iv) int((x^(2))/(1+x^(2)))dx

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

int(x^2)/(x^4+5x^2+6)dx=

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

Integrate I = int(6x^5)/(1+x^6)dx