Evaluating a Definite Integral on the TI-84 Calculator

This video tutorial demonstrates how to evaluate a definite integral using a TI-84 graphing calculator. It covers the steps to enter the limits of integration, input the integrand function, and calculate the integral to obtain the exact value. The tutorial also highlights the use of the calculator as a tool to verify manual calculations.

What is the first step in evaluating a definite integral on the TI-84 calculator?

• Press the 'Graph' button

• Select option nine from the 'Math' menu

• Enter the integrand function

• Turn off the calculator

How do you enter the lower limit of integration on the TI-84?

• Enter the number and press the right arrow

• Enter the number and press the left arrow

• Press the '2nd' button

• Press the 'Y=' button

What is the upper limit of integration in the example provided?

• 1

• 4

• 2

• 3

Which button combination is used to enter the square root function?

• Press 'Math' and '9'

• Press 'Alpha' and 'x²'

• Press 'Graph' and 'Trace'

• Press '2nd' and 'x²'

How can you enter x squared in the integrand function?

• Press 'x' and then '^2'

• Press 'x' and then 'x²'

• Press '2nd' and 'x'

• Press 'Math' and 'x²'

What is the final step to find the exact value of the definite integral?

• Press 'Graph'

• Press 'Enter' twice

• Press 'Math' and then 'Enter' twice

• Press 'Clear'

What is the purpose of entering the variable of integration 'x'?

• To start the calculation

• To complete the integral expression

• To define the limits of integration

• To specify the function to be integrated

Which operation is performed after entering the integrand function?

• Press 'Clear'

• Press 'Graph'

• Press 'Enter'

• Press 'Math'

What is the exact value of the definite integral calculated in the example?

• 1989/90

• 1989/70

• 1989/100

• 1989/50

Why is the TI-84 calculator a useful tool for evaluating definite integrals?

• It has a color display

• It is portable

• It can graph functions

• It provides an exact value for verification