Try to learn something about everything, and everything about somethingThomas Huxley “Darwin's bulldog” (1824-1895)

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public:calculator:progs:dm15l_progs [05/04/26 09:20 BST] – [Integrate Tests] johnpublic:calculator:progs:dm15l_progs [05/04/26 09:46 BST] (current) – [Integrate Tests] john
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-SCI04 display mode+''SCI04'' display mode
  
 12 programs. Set limits and then execute <key>'f'</key> <key>∫</key> ''prog number'' 12 programs. Set limits and then execute <key>'f'</key> <key>∫</key> ''prog number''
 +
 +For example for program 1 
 +
 +<key> 0 </key> <key>ENTER</key> <key> 1 </key>  <key>'f'</key> <key>∫</key> <key> 0 </key> <key> 1 </key> gives answer ''3.1416''
 +
  
   - Limits  0 -> 1 answer 3.1416   - Limits  0 -> 1 answer 3.1416
   - Limits  0 -> 1 answer 6.6667 E-1   - Limits  0 -> 1 answer 6.6667 E-1
-  - Limits  0 -> 1 answer 3.662 E-1 (Rads mode)+  - Limits  0 -> 1 answer 6.3662 E-1 (rads mode)
   - Limits  0 -> 1 answer -1.000   - Limits  0 -> 1 answer -1.000
   - Limits  0 -> 1 answer 3.6490 E-2   - Limits  0 -> 1 answer 3.6490 E-2
   - Limits  0 -> 2 answer 3.1416   - Limits  0 -> 2 answer 3.1416
   - Limits  0 -> π answer 2.1102 E1   - Limits  0 -> π answer 2.1102 E1
-  - Limits  0 -> 1 answer 5.0000 E-1+  - Limits  0 -> 1 answer 5.0000 E-1 (rads mode)
   - Limits  0 -> 1 answer 2.0000   - Limits  0 -> 1 answer 2.0000
   - Limits  0 -> 1 answer 7.8540 E-1   - Limits  0 -> 1 answer 7.8540 E-1
   - Limits -1 -> 1 answer 2.3857 E-2   - Limits -1 -> 1 answer 2.3857 E-2
   - Limits -1 -> 1 answer 2.2033   - Limits -1 -> 1 answer 2.2033
 +
 +Using ''FIX10'' still allows the integrations to complete almost instantly except for Program 8 which takes around 8 seconds!
 +
 +Dropping to ''FIX08'' and program 8 integration completes almost instantaneously too.
 +Strangely Program 8 has some odd behaviour regarding display precision.
 +
 +  * ''FIX04'' -> ''FIX07'' -> instantaneous answer 0.5000....
 +  * ''FIX08'' -> instantaneous answer 0.50000....
 +  * ''FIX09'' -> 8 seconds  answer 0.499964689
 +  * ''FIX10'' -> 8 seconds  answer 0.4999747623
 +  * ''FIX11'' -> 10 seconds answer 0.49999489949
 +  * ''FIX12'' -> 10 seconds answer 0.499999962001
 +  * ''FIX13'' -> instantaneous answer 0.5000......
 +  * ''FIX14'' -> instantaneous answer 0.500000......
 +  * ''FIX15'' -> instantaneous answer 0.5000000......
  
  

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