Robert M. Corless
Department of Applied Mathematics
University of Western Ontario
London, Canada

Copyright 2001 by Robert M. Corless
All rights reserved

Useful one-word commands 

Использование монокоманд

Simplification 

Упрощение

normal

Команда normal

> restart;
> p := expand( (x+1)^3*(x+2)^2*(x+3) );

p := x^6+10*x^5+40*x^4+82*x^3+91*x^2+52*x+12
> q := diff( p, x );

q := 6*x^5+50*x^4+160*x^3+246*x^2+182*x+52
> r := p/q;

r := (x^6+10*x^5+40*x^4+82*x^3+91*x^2+52*x+12)/(6*x...
> normal( r );

1/2*(x^3+6*x^2+11*x+6)/(3*x^2+13*x+13)
> Int(1/(2+sqrt(x)), x) = int(1/(2+sqrt(x)), x) + C;

Int(1/(2+sqrt(x)),x) = -2*ln(-4+x)+2*sqrt(x)+2*ln(-...
> diff( %, x );

1/(2+sqrt(x)) = -2*1/(-4+x)+1/(sqrt(x))+1/(sqrt(x)*...
> normal( % );

1/(2+sqrt(x)) = -(-8+2*x+4*sqrt(x)-x^(3/2))/(-4+x)/...
> normal( (lhs-rhs)(%) );

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