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Indefinite Integrals

Indefinite Integrals

Indefinite Integrals: It's Derivative's Nemesis: Antiderivative Quiz

Think you’ve got your head wrapped around Indefinite Integrals? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. Select the best answer to complete the following sentence:

An antiderivative is



a number.
a function.
a family of functions.
an indefinite integral.
Q. Select the best answer to complete the following sentence:

A definite integral is



a number.
a function.
a family of functions.
an indefinite integral with a particular value for the constant of integration + C.
Q. Which of the following does not define an antiderivative F ( x ) of the function f ( x ) = 0 ?


F(x) = 0
F(x) = x
F (x) = c where c is a constant greater than zero
F (x) = c where c is a constant less than 0.
Q.


2sin (2x) + C
-2sin(2x) + C
sin(2x) + C
-sin(2x) + C
Q.


6e(4x2 + 10) + C
3e(4x2 + 10) + C
4e((4/3)x3 + 10x) + C
8e(4x2 + 10) + C
Q.


4 ln |8x2 + 4x| + C
-4(8x2 + 4x)-2
Q.


Q.


1
2
ln(e2 + 1)
Q.


-666.75
-1333.5
-2667
-8001
Q. Which of the following integrals can be integrated by substitution?



(I)
(III)
(I) and (II)
(II) and (III)