Owner's Manual

Appendix A: Categorical Listing of Operations 903
For the AUTO setting of the Exact/Approx mode,
numerical integration is used where applicable
when an anti-derivative or a limit cannot be
determined.
For the APPROX setting, numerical integration is
tried first, if applicable. Anti-derivatives are
sought only where such numerical integration is
inapplicable or fails.
‰( e ^(ë x^2),x,ë 1,1)¥¸ 1.493...
‰() can be nested to do multiple integrals.
Integration limits can depend on integration
variables outside them.
Note: See also
nInt().
‰(‰(ln(x+y),y,0,x),x,0,a) ¸
‡() (square root) 2]key
‡ ( expression1 ) ⇒
⇒⇒
⇒ expression
‡ (
list1 ) ⇒
⇒⇒
⇒ list
Returns the square root of the argument.
For a list, returns the square roots of all the
elements in
list1.
‡(4) ¸ 2
‡({9,a,4}) ¸ {3 ‡a 2}
Π() (product) MATH/Calculus menu
Π
ΠΠ
Π( expression1 , var , low , high ) ⇒
⇒⇒
⇒ expression
Evaluates expression1 for each value of var from
low to high , and returns the product of the results.
Π
ΠΠ
Π(1/n,n,1,5) ¸
1
120
Π
ΠΠ
Π(k^2,k,1,n) ¸ (n!)ñ
Π
ΠΠ
Π({1/n,n,2},n,1,5) ¸
{
1
120
120 32}
Π
ΠΠ
Π( expression1 , var , low , low ì 1) ⇒
⇒⇒
⇒ 1
Π
ΠΠ
Π(k,k,4,3) ¸ 1
Π
ΠΠ
Π( expression1 , var , low , high ) ⇒
⇒⇒
⇒ 1 / Π( expression1,
var, high
+1, low ì 1) if high < low ì 1
Π
ΠΠ
Π(1/k,k,4,1) ¸ 6
Π
ΠΠ
Π(1/k,k,4,1)ù Π
ΠΠ
Π(1/k,k,2,4) ¸
1/4
G() (sum) MATH/Calculus menu
G ( expression1 , var , low , high ) ⇒
⇒⇒
⇒ expression
Evaluates expression1 for each value of var from
low to high , and returns the sum of the results.
G(1/n,n,1,5) ¸
137
60
G(k^2,k,1,n) ¸
nø (n + 1)ø (2ø n + 1)
6
G(1/n^2,n,1,ˆ)
¸
pñ
6
G ( expression1 , var , low , low ì 1) ⇒
⇒⇒
⇒ 0
G(k,k,4,3) ¸ 0
G ( expression1 , var , low , high ) ⇒
⇒⇒
⇒ ë G ( expression1,
var, high
+1, low ì 1) if high < low ì 1
G(k,k,4,1) ¸ ë 5
G(k,k,4,1)+G(k,k,2,4) ¸ 4