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. When using integration by parts, which of these expressions do we use to find an integral?
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_1.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_2.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_3.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_4.png)
Q. When using integration by parts to find
which is the best choice of u?
x2
x3
x5
ex3
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_7.png)
2xex/2 – 4ex/2 + C
xex/2 – ex/2 + C
x2ex/2 + C
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_8.png)
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_11.png)
(2x + 1)(x + 2)-3/2 + 8(x + 2)-1/2 + C
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_12.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_13.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_14.png)
Q. Let F be an antiderivative of f. Values of F, f, and f' are given in the table below.
Use this information to find
-1
-6
-10
-14
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_26.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_27.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_28.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_29.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_30.png)
Q. Which of the following is a partial fraction decomposition of
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_33.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_34.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_35.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_36.png)
Q. The partial fraction decomposition of
will look like
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_40.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_41.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_42.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_43.png)
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_44.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_45.png)
42ln|7x – 2| – 12ln|3 – x| + C
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_46.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_47.png)
Q.
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_51.png)
-ln 2
-ln 6
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_52.png)
![](https://media1.shmoop.com/images/calculus/calc_indefint_quiz_2_latek_53.png)