What is the antiderivative of sinx

The video tutorial discusses the process of finding antiderivatives, specifically focusing on the function cosine of X. It highlights common mistakes, such as assuming the antiderivative without verification, and emphasizes the importance of checking work by taking derivatives to ensure correctness. The tutorial also provides advice on correcting errors, like adding a negative sign to the antiderivative, and encourages students to review their work, especially when working quickly.

What is a common mistake when finding the antiderivative of cosine of X?

• Assuming it is X + C

• Assuming it is cosine of X + C

• Assuming it is sine of X + C

• Assuming it is negative sine of X + C

What is the derivative of cosine of X?

• Cosine of X

• Negative sine of X

• Negative cosine of X

• Sine of X

What is the correct antiderivative of cosine of X?

• Sine of X + C

• Negative sine of X + C

• Cosine of X + C

• Negative cosine of X + C

Why is it important to verify your antiderivative by taking the derivative?

• To simplify the expression

• To find the constant of integration

• To confirm the antiderivative is correct

• To ensure the derivative is zero

What should you do if you have time after solving a problem?

• Move on to the next problem

• Check your work by taking the derivative

• Ignore the problem

• Ask a friend for the answer