Question 1

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

Accepted Answer

D

Question 2

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. ...

Question 3

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

Accepted Answer

D

Question 4

Evaluate the indefinite integral. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the indefinite integral. 
A) 
B) 
C)...

Question 5

Evaluate the definite integral. 
A)-2
B)3
C)0
D)1
E)-0.5

Accepted Answer

The answer of Evaluate the definite integral. 
A)-2
B)3
C)0
D)1
E)-0.5...

Question 6

Evaluate the indefinite integral. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the indefinite integral. 
A) 
B) 
C)...

Question 7

Evaluate the integral by making the given substitution. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the integral by making the given...

Question 8

Evaluate the integral. 
A) 
B) 
C) 
D) 
E)None of these

Accepted Answer

The answer of Evaluate the integral. 
A) 
B) 
C) 
D)...

Question 9

Find the integral using the indicated substitution.  , 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the integral using the indicated substitution....

Question 10

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

Accepted Answer

The answer of Find the indefinite integral. 
A) 
B) 
C)...

Question 11

Find the area of the region to three decimal places that lies under the given curve. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

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

Question 12

Evaluate the definite integral.

Accepted Answer

The answer of Evaluate the definite integral. ...

Question 13

Evaluate the integral by making the given substitution.  , 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the integral by making the given...

Question 14

Evaluate the integral if it exists. 
A) 
B) 
C)0
D) 
E)none of these

Accepted Answer

The answer of Evaluate the integral if it exists. 
A)...

Question 15

Evaluate the indefinite integral.

Accepted Answer

The answer of Evaluate the indefinite integral. ...

Question 16

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

Accepted Answer

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

Question 17

Evaluate the indefinite integral. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

Since there is no variable involved in the integrand, it is simply a constant term. Thus, the indefinite integral of 11 is 11x + C, where C is the constant of integration. The first option, 11eaa3e5_5599_4ec3_9f8f_3b071926d583_TB5971_11, is the correct representation of this result.

Question 18

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

Accepted Answer

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

Question 19

Find the integral using the indicated substitution.  , 
A) 
B) 
C) 
D)

Accepted Answer

The indicated substitution is $u = 2x-3$, which implies $du = 2 dx$. We can rewrite the integral as $\frac{1}{2}\int e^u du$. The antiderivative of $e^u$ is simply $e^u$, so the integral evaluates to $\frac{1}{2}e^{2x-3} + C$. Therefore, the answer is (B).

Question 20

Find the area of the region that lies under the given curve. Round the answer to three decimal places. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

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

Quiz 4: Integrals

Find the indefinite integral.

Evaluate the integral.

Find the indefinite integral.

Evaluate the indefinite integral.

Evaluate the definite integral.

Evaluate the indefinite integral.

Evaluate the integral by making the given substitution.

Evaluate the integral.

Find the integral using the indicated substitution. ,

Find the indefinite integral.

Find the area of the region to three decimal places that lies under the given curve.

Evaluate the definite integral.

Evaluate the integral by making the given substitution. ,

Evaluate the integral if it exists.

Evaluate the indefinite integral.

Find the indefinite integral.

Evaluate the indefinite integral.

Find the indefinite integral.

Find the integral using the indicated substitution. ,

Find the area of the region that lies under the given curve. Round the answer to three decimal places.