To find the indefinite integral using formal variables
H I N T
For example, to find the indefinite integral of
∫3x2 – 5dx use:
∫(0, S1, 3X2 – 5, X)
1.Enter the function.
>6+,)7@>GG[@0>@
>$/3+$@S1 >@ 3 >[@
>$/3+$@X >[@>@ 5 >@ >$/3+$@X >@ >(17(5@
If the Decimal Mark setting in the Modes input form (>6+,)7@MODES)is set to Comma, use >@ instead of >@.
2.Show the result format.
*k,
6+2:_
3.Press 2._ to close the show window.
4.Copy the result and evaluate.
&23<_>(17(5@
HP 39G | HP 40G |
Thus, substituting X for S1, it can be seen that:
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| x3 | | |
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∫3x | 2 | – 5dx= |
| 3 | |||
| – 5x +3 | ||||||
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| | ∂ |
| (X) | |
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| | ∂X | | ||
This result derives 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.
∫( )4 (x – 2 )5
To see this, consider: x – 2 dx=
5
Using mathematical functions |