LET’S TRY ONE
Evaluate the definite integral of 3x2 from x=0 to x=1.
1
An antiderivative is × x3. Evaluate at 1 and 0: 3 × 13/3 = 1.
Learning steps & teaching tips
Evaluate a definite integral of a constant multiple of x2.
- Find an antiderivative first, then apply the upper and lower bounds.
- Work through the example and explain why each operation is used.
- Estimate or use another method to check the result before choosing.
Try it together
Work with a partner: solve one example, explain the method, then change one number and predict what changes.
Find an antiderivative first, then apply the upper and lower bounds.