Solving Simple Integrals with a Calculator FX 991 EMMS

Steps for Integration on the Calculator

1. Access the Integral Function

   • Press the Alpha button.
   • Press the integral (∫) button.

2. Input the Integral Expression

   Example: Integrate 3x^2 + 2x + 5 from 0 to 2.

   • Input: 3
   • Then, Alpha button followed by the ( button to get x (as x is above ().
   • Input: ^2 for x^2
   • Input: +2
   • Then, Alpha button followed by the ( button to get x.
   • Input: +5

3. Set the Limits

   • Instead of closing the bracket immediately, press the comma button.
   • Enter the lower limit: 0.
   • Press the comma button again.
   • Enter the upper limit: 2.

4. Complete the Calculation

   • Close the bracket and press =.
   • The result will be displayed as 22.

Manual Calculation Breakdown

• Integral of 3x^2 + 2x + 5 from 0 to 2:

  • Integral of 3x^2 = x^3
  • Integral of 2x = x^2
  • Integral of 5 = 5x

• Apply limits (0 to 2):

  • Evaluate at upper limit (2):
    • 2^3 = 8
    • 2^2 = 4
    • 5*2 = 10
    • Sum: 8 + 4 + 10 = 22
  • Evaluate at lower limit (0):
    • All terms become 0.

Thus, final result: 22.