Symbolics > Working with Symbolics > Using the Standard Keyword
Using the Standard Keyword
Use the standard keyword to receive the calculation results in a standard form. The standard keyword particularly applies to integrals and series expansions, see the following examples for different use-cases.
Symbolic Integral Functions
Use the standard keyword to receive the integration result with the integration constant _C1.
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You can assign a value to your integral constant:
1. Set the value of the integral constant.
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2. Type the integral function.
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3. Plot the integral function.
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4. Compare the function you plotted to the same function without the integral constant. You can see that the plot is shifted according to the value of the integral constant.
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5. Create the 3-dimensional plot with all the possible solutions of this integral function.
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If your calculation contains more than one integral function, you will receive more than one integral constants.
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Series Expansions
Use the standard keyword to apply the Big O notation to a series expansion. The Big O notation is used to describe the error term in the approximation of the series expansion.
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You can specify the number of terms the series expansion returns. Type a comma after the keyword series, add a positive integer and another comma before the keyword standard.
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To expand an expression around a point other than 0, specify a value for the variable after the keyword series, using the boolean equal operator.
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Assign the series expansions to a variable and perform algebraic calculations.
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