# Indefinite Integrals

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

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Indefinite Integrals**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*) =

*F*(

*x*) =

*c*where

*c*is a constant greater than zero

*F*(

*x*) =

Q.

2sin (2

*x*) +*C*-2sin(2

*x*) +*C*sin(2

*x*) +*C*-sin(2

*x*) +*C*Q.

6

*e*^{(4x2 + 10)}+*C*3

*e*^{(4x2 + 10)}+*C*4

*e*^{((4/3)x3 + 10x)}+*C*8

*e*^{(4x2 + 10)}+*C*Q.

4

*ln*|8*x*^{2}+ 4*x*| +*C*-4(8

*x*^{2}+ 4*x*)^{-2}Q.

Q.

1

2

*ln*(

*e*

^{2}+ 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)