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The Maxima on-line user's manual

Algebra Calculator

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Simpsum

-- Option variable: simpsum Default value: false

When simpsum is true, the result of a sum is simplified. This simplification may sometimes be able to produce a closed form. If simpsum is false or if the quoted form sum is used, the value is a sum noun form which is a representation of the sigma notation used in mathematics.

f:1/(1+x);
s(n,x):=integrate((-x)^n,x,0,1);
s(0,x);
s(1,x);
s(2,x);
s(3,x);
g3:sum((-x)^k,k,0,3);
g:sum((-x)^k,k,0,n-1),simpsum;
S3:integrate(g3,x,0,1);
fmg:f-g;
fmg:factor(fmg);

(%o1)                                true
(%i2) 

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simpsum

F(n)=2^2^n+1, simpsum;

F(2), simpsum;

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simpsum-sum

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simpsum-sum-sumcontract

a: sum(a[k], k, 1, 10...

b: sum(b[k], k, 1, 10...

sum(a+b, k, 1, 10);

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simpsum-sum

sum(n/1,n,inf,1), sim...

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simpsum-sin-true

simpsum:true;

sum(i^2,i,1,n);

f(x):=x^3+sin(x);

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simpsum-sum

sum(1/k, k, 1, 10), s...

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simpsum-subst-sum

Sn:sum(k*(x)^(k-1),k,...

sSn3:n*(n+1)/2*(3^n-1...

sub1:[x=3,n=1];

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simpsum-sum

sum(2*k-1,k,1,n);

f(k):=sum(2*k-1,k,1,n...

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simpsum-sum

sum (2^i + i^3, i, 0,...

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simpsum-sum

sum(1/i^2,i,1,6), sim...

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