How to use the FTC to evaluate the integral of a sine

The video tutorial explains the process of integrating sine of X, highlighting that the derivative of cosine of X is the opposite of sine of X. It demonstrates evaluating the integral from π to 0, using the unit circle to find cosine values at these points. The tutorial concludes with a summary of the evaluation process, emphasizing the importance of understanding negative signs in calculations.

What is the integral of sine of X?

• Negative cosine of X

• Cosine of X

• Sine of X

• Negative sine of X

When evaluating the integral from π to 0, what is the expression used?

• Cosine of π plus cosine of 0

• Negative cosine of π minus cosine of 0

• Negative cosine of π plus negative cosine of 0

• Negative cosine of π minus negative cosine of 0

What is the value of cosine at π?

• 2

• 1

• -1

• 0

What is the value of cosine at 0?

• 0

• 2

• 1

• -1

What is the final result of the integral evaluation from π to 0?

• 2

• 1

• -2

• 0