Question 1

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

Accepted Answer

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

Question 2

The diagram below shows upper and lower sums for the function ​  ​
Using 4 subintervals. Use upper and lower sums to approximate the area of the region using the 4 subintervals.
​  ​
A) lower: 1.518; upper: 1.768
B) lower: 6.072; upper: 7.072
C) lower: 3.036; upper: 3.536
D) lower: 1.268; upper: 2.018

Accepted Answer

The answer of The diagram below shows upper and lower...

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

The answer of Find the indefinite integral of the following...

Question 6

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

Accepted Answer

The answer of Find the indefinite integral of the following...

Question 7

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

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Find an equation of the tangent line to the graph of the function  at the point  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find an equation of the tangent line...

Question 10

Find the area of the shaded region. ​  
A) 
B) 
C) 1
D) 
E)

Accepted Answer

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

Question 11

Find the limit. ​  ​
A) 4
B) 10
C) 20
D) 16
E) 8

Accepted Answer

The answer of Find the limit. ​  ​
A) 4
B)...

Question 12

Find the sum given below. ​  ​
A) 132
B) 135
C) 126
D) 147
E) 129

Accepted Answer

The answer of Find the sum given below. ​ ...

Question 13

Use left endpoints and 12 rectangles to find the approximation of the area of the region between the graph of the function  and the x-axis over the interval  . Round your answer to four decimal places.
A) -0.0138
B) 0.0762
C) 0.0462
D) 0.0262
E) -0.0038

Accepted Answer

The answer of Use left endpoints and 12 rectangles to...

Question 14

Evaluate the definite integral of the trigonometric function. ​  ​
Use a graphing utility to verify your results.
​
A) 3
B) 5
C) 4
D) 2
E) 6

Accepted Answer

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

Question 15

Use the differential equation  and the initial condition  to find y.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the differential equation  and the...

Question 16

Find  if  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find  if  . ​
A) 
B)...

Question 17

Find the limit of  as  . ​  ​
A) 0
B) unbounded
C) 1/4
D) 3/2
E) 3/4

Accepted Answer

The answer of Find the limit of  as ...

Question 18

A ball is thrown vertically upwards from a height of 8 ft with an initial velocity of 30 ft per second. How high will the ball go? Note that the acceleration of the ball is given by  feet per second per second.
A) 18.5469 ft
B) 34.1875 ft
C) 53.1875 ft
D) 50.1875 ft
E) 22.0625 ft

Accepted Answer

The answer of A ball is thrown vertically upwards from...

Question 19

Evaluate the definite integral. ​  ​
A) 11
B) 
C) 
D) 
E) 1

Accepted Answer

The answer of Evaluate the definite integral. ​  ​
A)...

Question 20

Evaluate the following definite integral. ​  ​
Use a graphing utility to check your answer.
​
A) 
B) 
C) -1
D) 1
E) 0

Accepted Answer

The answer of Evaluate the following definite integral. ​ ...

Quiz 5: Integration

Find the integral .

The diagram below shows upper and lower sums for the function Using 4 subintervals. Use upper and lower sums to approximate the area of the region using the 4 subintervals.

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

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

Find the indefinite integral of the following function.

Find the indefinite integral of the following function.

Find the indefinite integral .

Find the indefinite integral .

Find an equation of the tangent line to the graph of the function at the point .

Find the area of the shaded region.

Find the limit.

Find the sum given below.

Use left endpoints and 12 rectangles to find the approximation of the area of the region between the graph of the function and the x-axis over the interval . Round your answer to four decimal places.

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

Use the differential equation and the initial condition to find y.

Find if .

Find the limit of as .

A ball is thrown vertically upwards from a height of 8 ft with an initial velocity of 30 ft per second. How high will the ball go? Note that the acceleration of the ball is given by feet per second per second.

Evaluate the definite integral.

Evaluate the following definite integral. Use a graphing utility to check your answer.

Quiz 5: Integration

Find the integral . ​

The diagram below shows upper and lower sums for the function ​ ​ Using 4 subintervals. Use upper and lower sums to approximate the area of the region using the 4 subintervals. ​ ​

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

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

Find the indefinite integral of the following function. ​ ​

Find the indefinite integral of the following function. ​ ​

Find the indefinite integral . ​

Find the indefinite integral . ​

Find an equation of the tangent line to the graph of the function at the point . ​

Find the area of the shaded region. ​

Find the limit. ​ ​

Find the sum given below. ​ ​

Use left endpoints and 12 rectangles to find the approximation of the area of the region between the graph of the function and the x-axis over the interval . Round your answer to four decimal places.

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

Use the differential equation and the initial condition to find y.

Find if . ​

Find the limit of as . ​ ​

A ball is thrown vertically upwards from a height of 8 ft with an initial velocity of 30 ft per second. How high will the ball go? Note that the acceleration of the ball is given by feet per second per second.

Evaluate the definite integral. ​ ​

Evaluate the following definite integral. ​ ​ Use a graphing utility to check your answer. ​

Find the integral .

The diagram below shows upper and lower sums for the function Using 4 subintervals. Use upper and lower sums to approximate the area of the region using the 4 subintervals.

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

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

Find the indefinite integral of the following function.

Find the indefinite integral of the following function.

Find the indefinite integral .

Find the indefinite integral .

Find an equation of the tangent line to the graph of the function at the point .

Find the area of the shaded region.

Find the limit.

Find the sum given below.

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

Find if .

Find the limit of as .

Evaluate the definite integral.

Evaluate the following definite integral. Use a graphing utility to check your answer.