Question 1

Evaluate the integral.
-  dx
A) 
B)
C) 
D)

Accepted Answer

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

Question 2

Evaluate the integral.
-  dx
A) 
B)
C)
D)

Accepted Answer

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

Question 3

Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral.
-
A) Integrate by parts with u = cos 2x, dv = 3x dx
B) Integrate by parts with u = 3x, dv = cos 2x dx
C) Substitute, letting u = 2x
D) Substitute, letting u = cos 2x

Accepted Answer

The answer of Identify a technique of integration for evaluating...

Question 4

Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral.
-
A) Substitute, letting u =  x
B) Integrate by parts with u =  x, dv = (1 - cot x) dx
C) Integrate by parts with u = 1-cot x, dv =  x dx
D) Substitute, letting u = 1-cot x

Accepted Answer

The answer of Identify a technique of integration for evaluating...

Question 5

Evaluate the integral.
-  dx
A) 
B) 41,984
C) 15,136
D)

Accepted Answer

The answer of Evaluate the integral.
-  dx
A) 
B) 41,984
C)...

Question 6

Evaluate the integral.
-  x dx
A) - 
B) - 
C) 
D)

Accepted Answer

The answer of Evaluate the integral.
-  x dx
A) -...

Question 7

Evaluate the integral.
-
A) 
B)
C) 
D)

Accepted Answer

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

Question 8

Evaluate the integral.
-
A)
B) 
C)
D)

Accepted Answer

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

Question 9

Solve the problem.
-Find the area of the region bounded by the curves y =  , y =  , and x = 0. Round to 3 decimal places.
A)   $\approx$ 2.264
B)   $\approx$ 2.493
C)   $\approx$ 2.122
D)   $\approx$ 2.351

Accepted Answer

The answer of Solve the problem.
-Find the area of the...

Question 10

Solve the problem.
-Find the volume of the solid obtained by revolving the region bounded by the curve y =  on  about the y-axis. Round to 3 decimal places.
A)$\pi$    $\approx$ 8.268
B) $\pi$ $\approx$ 13.497
C) $\pi$  $\approx$12.021
D) $\pi$  $\approx$ 7.718

Accepted Answer

The answer of Solve the problem.
-Find the volume of the...

Question 11

Evaluate the integral.
-
A) 2  + 2    + C
B)  ln  + C
C)    + C
D)  ln  + C

Accepted Answer

The answer of Evaluate the integral.
-
A) 2  + 2...

Question 12

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Question 13

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Question 14

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Question 15

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Question 16

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Question 17

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Question 18

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Question 19

Evaluate the integral.
-  dx
A)
B) 
C) 
D)

Accepted Answer

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

Question 20

Evaluate the integral.
-
A)
B)
C)
D)

Accepted Answer

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

Quiz 8: Integration Techniques

Evaluate the integral. - dx

Evaluate the integral. - dx

Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral. -

Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral. -

Evaluate the integral. - dx

Evaluate the integral. - x dx

Evaluate the integral. -

Evaluate the integral. -

Solve the problem. -Find the area of the region bounded by the curves y = , y = , and x = 0. Round to 3 decimal places.

Solve the problem. -Find the volume of the solid obtained by revolving the region bounded by the curve y = on about the y-axis. Round to 3 decimal places.

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. - dx

Evaluate the integral. -