HP 40G To find the indefinite integral using formal variables, +,7@GG@0 @ $/3+$@ S1 @ 3 @, Dx=

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@>G￿G[@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&23<￿the result and evaluate.

>(17(5@

HP 39G HP 40G

Thus, substituting X for S1, it can be seen that:

					x3		
					----		
∫3x	2	– 5dx=			3
			– 5x +3 	---------------
				∂		(X)
				∂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 10-25