Indefinite Integrals Quiz

What does the sum and difference rule for indefinite integrals allow you to do?

• Differentiate multiple terms simultaneously

• Integrate one term at a time

• Integrate multiple terms simultaneously

• Differentiate one term at a time

When applying the sum and difference rule, what is the antiderivative of x^2?

• x^3/2

• x^4/4

• x^2/2

• x^3/3

What is the antiderivative of e^x according to the sum and difference rule?

• x^e + C

• x^2/2 + C

• e^x + C

• e^(x+1) + C

What does the constant multiple rule for indefinite integrals state?

• Constants can be factored out of the integral

• Constants should be added to the integral

• Constants must be integrated separately

• Constants can be ignored during integration

How would you integrate 3x using the constant multiple rule?

• 3x^2/2 + C

• x^3/3 + C

• x^2/2 + C

• 3x^3/3 + C

What is the antiderivative of 5e^x using the constant multiple rule?

• 5e^x + C

• 5x^2/2 + C

• e^x + C

• 5x^e + C

How do you express the integral of 4/x using the constant multiple rule?

• 4 ln|x| + C

• ln|x|/4 + C

• ln|4x| + C

• 4/x + C

What is the antiderivative of 2cos(x) using the combined rules?

• 2sin(x) + C

• sin(x) + C

• cos(x)^2 + C

• 2cos(x) + C

What is the antiderivative of 4sec^2(x) using the combined rules?

• 4tan(x) + C

• sec(x)^2 + C

• tan(x) + C

• 4sec(x) + C

How do you integrate e^x/3 using the combined rules?

• e^(x/3) + C

• 1/3 e^x + C

• e^x/3 + C

• 3e^x + C