HP 39g+ User Manual page 167

To find the
indefinite integral
using formal
variables
Using mathematical functions
For example, to find the indefinite integral of
2
∫
3x – 5 x d
use:
(
∫
2 −
, 0 S 1 3 , X , 5
1. Enter the function.
0
S1
X
X
2. Show the result format.
3. Press to close the
show window.
4. Copy the result and
evaluate.
Thus, substituting X for S1, it can be seen that:
2
∫
3x – 5 d x = –
This result is derived from substituting X=S1 and X=0 into
the original expression found in step 1. However,
substituting X=0 will not always evaluate to zero and may
result in an unwanted constant.
To see this, consider:
)
X
3
5
3
x
 
---- -
 
3
 --------------- 
5x + 3
∂
 
X ( )
 
∂
X
x (
4
∫
-------------------
( )
x 2 – d x =
hp 39g+
5
2 )
–
5
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