Question 1

Evaluate the definite integral by using the method of integration by parts.

Accepted Answer

The answer of Evaluate the definite integral by using the...

Question 2

Evaluate the definite integral by using the method of integration by parts.

Accepted Answer

The answer of Evaluate the definite integral by using the...

Question 3

Find the indefinite integral.  Hint: Integrate by parts twice.

Accepted Answer

The answer of Find the indefinite integral.  Hint: Integrate...

Question 4

Sales of the latest recording by Brittania, a British rock group, are currently  units/week (each unit representing 10,000 discs), where t denotes the number of weeks since the recording's release.Find an expression that gives the total number of discs sold as a function of t.

Accepted Answer

The answer of Sales of the latest recording by Brittania,...

Question 5

Find the indefinite integral.  Hint: First, make the substitution  ; then, integrate by parts.

Accepted Answer

The answer of Find the indefinite integral.  Hint: First,...

Question 6

Evaluate the definite integral by using the method of integration by parts.

Accepted Answer

The answer of Evaluate the definite integral by using the...

Question 7

Find the area of the region under the graph of  from x = 1 to x = 2.

Accepted Answer

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

Question 8

Find the area of the region under the graph of  from  to  .

Accepted Answer

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

Question 9

Find the function f given that the slope of the tangent line to the graph of f at any point  and that the graph passes through the point (0, 3).

Accepted Answer

The answer of Find the function f given that the...

Question 10

Evaluate the definite integral by using the method of integration by parts.

Accepted Answer

The answer of Evaluate the definite integral by using the...

Quiz 7: Additional Topics in Integration

Evaluate the definite integral by using the method of integration by parts.

Evaluate the definite integral by using the method of integration by parts.

Find the indefinite integral. Hint: Integrate by parts twice.

Sales of the latest recording by Brittania, a British rock group, are currently units/week (each unit representing 10,000 discs), where t denotes the number of weeks since the recording's release.Find an expression that gives the total number of discs sold as a function of t.

Find the indefinite integral. Hint: First, make the substitution ; then, integrate by parts.

Evaluate the definite integral by using the method of integration by parts.

Find the area of the region under the graph of from x = 1 to x = 2.

Find the area of the region under the graph of from to .

Find the function f given that the slope of the tangent line to the graph of f at any point and that the graph passes through the point (0, 3).

Evaluate the definite integral by using the method of integration by parts.