260 Lab 6 - Math 260 Week 6 Lab Name Antiderivatives and Integrals As we have seen derivatives give information about instantaneous rates along a curve

# 260 Lab 6 - Math 260 Week 6 Lab Name Antiderivatives and...

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Math 260 - Week 6 Lab Name: Antiderivatives and Integrals As we have seen, derivatives give information about instantaneous rates along a curve.The integral, gives information about the area under a curve. Antiderivative: The reverse of the derivative.The original function of a derivative. If f(x) is a derivative, F(x) is the antiderivative.Directions:Look at the examples below then answer questions 1 & 2.Let f(x) be a derivative.f(x) = 3x2f(x) = 5x - 62.) Find the antiderivative of f(x) = 3x5+ x – 4. Show all work.
3.) How is an antiderivative related to a derivative ? How can that relationship help you to check all of your antiderivative and integral answers on this Lab ?4.) What do the following antiderivativeshave in common ? – 11 ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Constant of Integration: C is the constant of integration that must be attached to an indefinite integral. It represents any of the constants that could be part of F(x).Directions:Look at the examples then find each of the integrals below.F(x) = F(x) = F(x) = F(x) = 5.)In your own words, explain why there is a + C at the end of each indefinite integral ?