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.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_1.png)
2sin (2x) + C
-2sin(2x) + C
sin(2x) + C
-sin(2x) + C
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_3.png)
6e(4x2 + 10) + C
3e(4x2 + 10) + C
4e((4/3)x3 + 10x) + C
8e(4x2 + 10) + C
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_6.png)
4 ln |8x2 + 4x| + C
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_7.png)
-4(8x2 + 4x)-2
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_8.png)
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_15.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_16.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_17.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_18.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_19.png)
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_23.png)
1
2
ln(e2 + 1)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_24.png)
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_1_latek_28.png)
-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)