**1. What is the primary difference between using anti-differentiation when finding a definite versus an indefinite integral? **

**Indefinite integrals don't have defined limits.**

**Definite integrals have defined limits.**

**The constant of integration, C. **

**There is no difference between definite and indefinite integrals.**

**2. If θ approaches zero, then limit of sin(θ)/θ is _____. **

**cos(θ) **

**0 **

**1 **

**This is indeterminate. **

**3. Let's say that f ''(k) = 0 @ (13, -2). What does this mean?**

**There is definitely an inflection point at that location. **

**There might be an inflection point at that location. **

**There definitely is not an inflection point at that location. **

**There's no way to tell without first knowing what the specific function is.**

**4. What is the one thing done in anti-differentiation that has no counterpart in differentiation? **

**Adding a constant C. **

**Subtracting a constant C. **

**Dividing the new exponent by a constant C. **

**Nothing, they are equally matched step by step. **

**5. What is a necessary condition for L'Hôpital's Rule to work? **

**The function must be determinate. **

**The function must be indeterminate. **

**The function must be inconsistent. **

**The function must possess at least three non-zero derivatives. **

**6. What does du equal in ∫2x(x ^{2} + 1)^{5} dx? **

**2x **

**2u du **

**2x dx **

**5u ^{4} **

**7. What is the second step of performing anti-differentiation? **

**Divide the coefficient by the old exponential value. **

**Subtract the new exponential value from the coefficient. **

**Multiply the coefficient by the new exponential value. **

**Divide the coefficient by the new exponential value. **

**8. Which of the following is the best integration technique to use for ∫2x(x ^{2} + 1)^{5} dx? **

**The product rule. **

**The chain rule. **

**The power rule. **

**The substitution rule. **

**9. ∫1/x dx = **

**Undefined because you cannot divide by zero. **

**log _{e}(x) **

**ln(x) **

**ln(x) + C **

**10. What is the converted substitution form of ∫12x ^{2} (x^{3} + 1)^{5} dx? **

**4∫u ^{5} du **

**∫u ^{5} du **

**¼ ∫u ^{5} du **

**This cannot be solved by the substitution method.**