Mathematical Software. Mathematical Research. Mathematical Education. Tvalx Products.
Integral Calculator Level 1 for Windows 98, Windows 2000, Windows Server (2000, 2003, 2008, 2012), Windows XP, Windows Vista, Windows 7, and Windows 8.
The software calculates definite integrals of differentiable functions on interval of integration.
The easiest way to edit formula is left-clicking buttons. It allows to keep brackets balanced, functions names correct and so on. Clicking the button "calculate" triggers calculation of entered formula. The result of calculation appears in the window (text-box) named Result.
The second way is to use keyboard (and keypad). All controls usual for editing are available. Pressing the key Enter triggers calculation. Before using keyboard don't forget to click inside text-box to get focus (blinking cursor).
After calculation the entered formula is not deleted from the Edit window allowing to modify formula. If you want to delete formula select it by mouse and delete. For selecting text you can use right-click menu "Select All" or left-click mouse dragging along the text. For deleting selected text use right-click menu "Cut" or "Delete".
Using right-click menu you can copy and paste text between Edit window and all other text-box windows.
For copying text from saved History file open saved History file (usually in WordPad, Notepad, or MS Word ), drag mouse along the text for selection and then choose Copy from right-click menu. Then go to Formula tab, right-click onto Edit window, select command Paste.
Apply the same procedure for copying text from History window or saved History file into variables windows in Variables tab.
Functions and operations have to be entered exactly as they appears by pressing buttons. Alternative names are not supported.
Numbers can be entered in wide variety of formats. But for exponent always use E, since "e" is reserved for "number e". Long numbers will be rounded for 15 digits. For example, 1234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890 will become 1.23456789012346E+99.
The calculating algorithm needs integrand derivatives of high orders. Calculation of high order derivatives can be long. For aborting calculation click Stop button. Calculation will stop at current iteration. Result and Uncertainty of current iteration will be shown.
The algorithm tries to calculate definite integral with precision 15 digits. But if interval of integration is too big or the integrand function has singularities at end-points then the algorithm cannot reach precision 15 digits. Rough estimation of calculation error is given in text-box Uncertainty. For example, if result is 1.23456789012345 and Uncertainty is 1.0E-15 then all 15 digits in Result are reliable. If result is 1.23456789012345 and Uncertainty is 1.0E-10 then only first 10 digits in Result are reliable. If result is 1.23456789012345E+10 and Uncertainty is 1.0E-5 then 15 digits in Result are reliable. That is 12345678901.2345+/-0.00001 . Thus for 15 reliable digits the exponent of Result minus exponent of Uncertainty should be no less than 15.
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