How to use the ftc to evaluate the definite integral of a binomial square

The video tutorial covers the process of multiplying binomials and highlights common mistakes students make, such as not fully expanding the terms. It then transitions into integrating a function, explaining each step in detail, and evaluating the result from one to zero. The tutorial emphasizes the importance of careful calculation to avoid errors.

What is the result of multiplying the binomial (2T - 1)^2?

• 4T^2 - 4T + 1

• 2T^2 + 2T + 1

• 4T^2 + 4T + 1

• 2T^2 - 2T + 1

Which of the following is the correct integral of 4T^2 - 4T + 1?

• 4T^3/3 - 4T^2/2 + X

• 4T^3/3 + 4T^2/2 + X

• 4T^3/3 + 2T^2 + X

• 4T^3/3 - 2T^2 + X

When evaluating the integral from 1 to 0, what is the value of the expression 4T^3/3 - 4T^2/2 + X at T=1?

• 4/3 + 1 + 1

• 4/3 - 1 + 1

• 4/3 + 2 + 1

• 4/3 - 2 + 1

What is the simplified result of 4/3 - 2 + 1?

• 1/3

• 2/3

• 4/3

• 3/3

What is the final value obtained after evaluating the integral from 1 to 0?

• 1/3

• 2/3

• 4/3

• 3/3