Question 1

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. ​  ​
A) 63
B) 31.5
C) 6
D) 87
E) -43.5

Accepted Answer

B

Question 2

Find the limit of  as  . ​  ​
A) 1/5
B) 4
C) 0
D) unbounded
E) 8/5

Accepted Answer

C

Question 3

Evaluate the integral. ​  ​
Given,
​  ,  ,  ,  .
​
A) 85
B) 1,346
C) 84
D) 1,029
E) 1,074

Accepted Answer

D

Question 4

Find the derivative of the function  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the derivative of the function ...

Question 5

Find the area of the shaded region for the function  . ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the area of the shaded region...

Question 6

Evaluate the limit  using L'Hopital's Rule if necessary. ​
A)  
B) 
C) 
D) 0
E)

Accepted Answer

The answer of Evaluate the limit  using L'Hopital's Rule...

Question 7

Find the derivative of the function  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the derivative of the function ...

Question 8

Evaluate the function  . If the value is not a rational number, give the answer to three-decimal-place accuracy.
A) 15.049
B) 2.418
C) 7.254
D) 3.627
E) 2.508

Accepted Answer

The answer of Evaluate the function  . If the...

Question 9

Evaluate the limit  using L'Hopital's Rule if necessary. ​
A) 
B) 
C) 1
D) 
E)

Accepted Answer

The answer of Evaluate the limit  using L'Hopital's Rule...

Question 10

Find the general solution of the differential equation below and check the result by differentiation. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the general solution of the differential...

Question 11

Find the indefinite integral  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the indefinite integral  . ​
A)...

Question 12

Evaluate the limit  using L'Hopital's Rule if necessary.
A) 
B) 
C) 
D) 
E) 2

Accepted Answer

The answer of Evaluate the limit  using L'Hopital's Rule...

Question 13

Find the indefinite integral. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the indefinite integral. ​  ​
A)...

Question 14

Evaluate the definite integral of the algebraic function. ​  ​
Use a graphing utility to verify your results.
​
A) -1,344
B) 1,344
C) 1,656
D) 3,156
E) 156

Accepted Answer

The answer of Evaluate the definite integral of the algebraic...

Question 15

Find  given ​  .
​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find  given ​  .
​
A) 
B)...

Question 16

Find the integral of  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the integral of  . ​
A)...

Question 17

Find the derivative of the function  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the derivative of the function ...

Question 18

Find  . ​
A) 
B) -5
C) 
D) 5
E) 0

Accepted Answer

The answer of Find  . ​
A) 
B) -5
C) 
D)...

Question 19

Evaluate  and  in that order. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate  and  in that order....

Question 20

Evaluate the limit  using L'Hopital's Rule if necessary.
A) 0
B) 
C) 
D) 1
E) does not exist

Accepted Answer

The answer of Evaluate the limit  using L'Hopital's Rule...

Quiz 5: Integration

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.

Find the limit of as .

Evaluate the integral. Given, , , , .

Find the derivative of the function .

Find the area of the shaded region for the function .

Evaluate the limit using L'Hopital's Rule if necessary.

Find the derivative of the function .

Evaluate the function . If the value is not a rational number, give the answer to three-decimal-place accuracy.

Evaluate the limit using L'Hopital's Rule if necessary.

Find the general solution of the differential equation below and check the result by differentiation.

Find the indefinite integral .

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral.

Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.

Find given .

Find the integral of .

Find the derivative of the function .

Find .

Evaluate and in that order.

Evaluate the limit using L'Hopital's Rule if necessary.

Quiz 5: Integration

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. ​ ​

Find the limit of as . ​ ​

Evaluate the integral. ​ ​ Given, ​ , , , . ​

Find the derivative of the function . ​

Find the area of the shaded region for the function . ​ ​

Evaluate the limit using L'Hopital's Rule if necessary. ​

Find the derivative of the function . ​

Evaluate the function . If the value is not a rational number, give the answer to three-decimal-place accuracy.

Evaluate the limit using L'Hopital's Rule if necessary. ​

Find the general solution of the differential equation below and check the result by differentiation. ​ ​

Find the indefinite integral . ​

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral. ​ ​

Evaluate the definite integral of the algebraic function. ​ ​ Use a graphing utility to verify your results. ​

Find given ​ . ​

Find the integral of . ​

Find the derivative of the function . ​

Find . ​

Evaluate and in that order. ​

Evaluate the limit using L'Hopital's Rule if necessary.

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.

Find the limit of as .

Evaluate the integral. Given, , , , .

Find the derivative of the function .

Find the area of the shaded region for the function .

Evaluate the limit using L'Hopital's Rule if necessary.

Find the derivative of the function .

Evaluate the limit using L'Hopital's Rule if necessary.

Find the general solution of the differential equation below and check the result by differentiation.

Find the indefinite integral .

Find the indefinite integral.

Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.

Find given .

Find the integral of .

Find the derivative of the function .

Find .

Evaluate and in that order.