Derivatives and Integrals

You can symbolically evaluate derivatives and indefinite or definite integrals of functions, using operators from the Calculus toolbar and the symbolic equal sign.

Derivatives

To take the derivative of a function, use the derivative button Derivative button on Calculus toolbar on the Calculus toolbar. For example, to take the derivative of sin(x):

  1. Click Derivative button on Calculus toolbar on the Calculus toolbar to insert the derivative operator as shown below.

    Derivative operator with placeholders

  2. Place the cursor in the lower placeholder and type the variable of differentiation x.
  3. Place the cursor in the upper placeholder and click sin on the Calculator toolbar to insert the built-in sine function.
  4. Type x in the placeholder that appears after "sin." You should now see the following:

    Derivative operator after filling placeholders

  5. Press [Ctrl] [.] to insert the symbolic equal sign.
  6. Press [Enter].

    Derivative of sin(x)

Integrals

To take the indefinite integral of a function, use the indefinite integral button Indefinite integral button on Calculus toolbar on the Calculus toolbar. For example, to take the indefinite integral of x2·ex:

  1. Click Indefinite integral button on the Calculus toolbar to insert the indefinite integral operator as shown below.

    Indefinite integral operator with placeholders

  2. Type the expression x2·ex in the placeholder to the right of the integral sign.
  3. Type the variable of integration x in the placeholder to the right of the symbol "d."
  4. Press [Ctrl] [.] to insert the symbolic equal sign.
  5. Press [Enter].

    Symbolic integral

To take the definite integral of the same function, from 0 to 5, click the definite integral button Definite integral button on Calculus toolbar on the Calculus toolbar to insert the definite integral operator, as shown below.

Definite integral operator with placeholders

Type 0 in the placeholder at the bottom of the integral sign. Type 5 in the placeholder at the top of the integral sign. Then repeat Steps 2-5 above. The result is shown below:

Symbolic definite integral

QuickSheet - Symbolic Calculus

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