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int(x^(3)-4x^(2)+5x-1)/((x-1)^(2))dx...

int(x^(3)-4x^(2)+5x-1)/((x-1)^(2))dx

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Evaluate: int(x^(3)+5x^(2)+4x+1)/(x^(2))dx

For integral int f(x- a/x)*(1+a/x^(2))dx , put x-a/x=t For integral int f(x+a/x)*(1-(a)/(x^(2)))dx , put x+a/x =t For integral int f(x^(2)-(a)/(x^(2)))*(x+(a)/(x^(3)))dx , put x^(2)-(a)/(x^(2))=t For integral int f(x^(2)+(a)/(x^(2)))*(x-(a)/(x^(3)))dx , put x^(2)+(a)/(x^(2))=t many integrands can be brought into above forms by suitable reductions or transformations . int(5x^(4)+4x^(5))/((x^(5)+x+1)^(2))dx

For integral int f(x- a/x)*(1+a/x^(2))dx , put x-a/x=t For integral int f(x+a/x)*(1-(a)/(x^(2)))dx , put x+a/x =t For integral int f(x^(2)-(a)/(x^(2)))*(x+(a)/(x^(3)))dx , put x^(2)-(a)/(x^(2))=t For integral int f(x^(2)+(a)/(x^(2)))*(x-(a)/(x^(3)))dx , put x^(2)+(a)/(x^(2))=t many integrands can be brought into above forms by suitable reductions or transformations . int(5x^(4)+4x^(5))/((x^(5)+x+1)^(2))dx

int(x^(4)-2x^(2)+4x+1)/(x^(3)-x^(2)-x+1)dx

Evaluate int (3x^2+4x-5)/((x^2-1)(x+2))dx

int(5x)/((x+1)(x^2-4))dx

Evaluate: int (x^3+5x^2+4x+1)/(x^2) dx

Evaluate: int(x^3+5x^2+4x+1)/(x^2)\ dx