Manual Maple 2.1.1.mws

Comandos Úteis e Simples

 Simplificação

>    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^5+50*x^4+160*x^3+246*x^2+182*x+52)

>    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(-2+sqrt(x))-2*ln(2+sqrt(x))+C

>    diff( %, x );

1/(2+sqrt(x)) = -2*1/(-4+x)+1/(sqrt(x))+1/(sqrt(x)*(-2+sqrt(x)))-1/(sqrt(x)*(2+sqrt(x)))

>    normal( % );

1/(2+sqrt(x)) = -(-8+2*x+4*sqrt(x)-x^(3/2))/(-4+x)/(-2+sqrt(x))/(2+sqrt(x))

>    normal( (lhs-rhs)(%) );

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