### All High School Math Resources

## Example Questions

### Example Question #66 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To find the indefinite integral of our equation, we can use the reverse power rule.

To use the reverse power rule, we raise the exponent of the by one and then divide by that new exponent.

Remember that, when taking the integral, we treat constants as that number times since anything to the zero power is . For example, treat as .

When taking an integral, be sure to include a at the end of everything. stands for "constant". Since taking the derivative of a constant whole number will always equal , we include the to anticipate the possiblity of the equation actually being or instead of just .

### Example Question #67 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To find the indefinite integral of our equation, we can use the reverse power rule.

To use the reverse power rule, we raise the exponent of the by one and then divide by that new exponent.

When taking an integral, be sure to include a . stands for "constant". Since taking the derivative of a constant whole number will always equal , we include the to anticipate the possiblity of the equation actually being or instead of just .

### Example Question #68 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

Undefined

**Correct answer:**

To find the indefinite integral of our equation, we can use the reverse power rule.

To use the reverse power rule, we raise the exponent of the by one and then divide by that new exponent.

Remember that, when taking the integral, we treat constants as that number times , since anything to the zero power is . Treat as .

When taking an integral, be sure to include a . stands for "constant". Since taking the derivative of a constant whole number will always equal , we include the to anticipate the possiblity of the equation actually being or instead of just .

### Example Question #69 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

is a special function.

The indefinite integral is .

Even though it is a special function, we still need to include a . stands for "constant". Since taking the derivative of a constant whole number will always equal , we include the to anticipate the possiblity of the equation actually being or instead of just .

### Example Question #70 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To solve this problem, we can use the anti-power rule or reverse power rule. We raise the exponent on the variables by one and divide by the new exponent.

For this problem, we'll treat as since anything to the zero power is one.

Since the derivative of any constant is , when we take the indefinite integral, we add a to compensate for any constant that might be there.

From here we can simplify.

### Example Question #71 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To solve this problem, we can use the anti-power rule or reverse power rule. We raise the exponent on the variables by one and divide by the new exponent.

For this problem, we'll treat as since anything to the zero power is one.

Since the derivative of any constant is , when we take the indefinite integral, we add a to compensate for any constant that might be there.

From here we can simplify.

### Example Question #72 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To solve this problem, we can use the anti-power rule or reverse power rule. We raise the exponent on the variables by one and divide by the new exponent.

For this problem, we'll treat as since anything to the zero power is one.

Since the derivative of any constant is , when we take the indefinite integral, we add a to compensate for any constant that might be there.

From here we can simplify.

### Example Question #73 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To find the indefinite integral, we can use the reverse power rule: we raise the exponent by one and then divide by our new exponent.

Remember when taking the indefinite integral to include a to cover any potential constants.

Simplify.

### Example Question #74 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To find the indefinite integral, we can use the reverse power rule: we raise the exponent by one and then divide by our new exponent.

We are going to treat as since anything to the zero power is one.

Remember when taking the indefinite integral to include a to cover any potential constants.

Simplify.

### Example Question #75 : Calculus Ii — Integrals

What is the indefinite integral of ?

**Possible Answers:**

**Correct answer:**

To find the indefinite integral, we use the reverse power rule. That means we raise the exponent on the variables by one and then divide by the new exponent.

Remember to include a when computing integrals. This is a place holder for any constant that might be in the new expression.

Certified Tutor