Example 1
Evaluate the indefinite integral. Remember the + C.
Example 2
Evaluate the indefinite integral. Remember the + C.
Example 3
Evaluate the indefinite integral. Remember the + C.
Example 4
Evaluate the indefinite integral. Remember the + C.
Example 5
Evaluate the indefinite integral. Remember the + C.
Example 6
Evaluate the indefinite integral. Remember the + C.
Example 7
Evaluate the indefinite integral. Remember the + C.
Example 8
Evaluate the indefinite integral. Remember the + C.
Example 9
Evaluate the indefinite integral. Remember the + C.
, so 
.Example 10
Evaluate the indefinite integral. Remember the + C.
Example 11
Determine if the integral is a definite integral or an indefinite integral.
Example 12
Determine if the integral is a definite integral or an indefinite integral.
Example 13
Determine if the integral is a definite integral or an indefinite integral.
Example 14
Determine if the integral is a definite integral or an indefinite integral.
Example 15
Assume the function f (x) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.
is a number.
is definite integral, so it's a number.Example 16
Assume the function f (x) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.
is a family of functions.
is a definite integral. It's just one number, not a family of functions.Example 17
Assume the function f (x) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.
is a number.
is not just one number; it's the family of all functions with derivative f (x).Example 18
Assume the function f (x) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.
is a function.
is a collection of infinitely many functions. It's not just one single function.Example 19
Assume the function f (x) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.
is a family of functions.
is the family of functions with derivative f(x).Example 20
Assume the function f (x) can be integrated over any interval. Determine if the statement is true or false. Explain your reasoning.
and 
can't be equal, because one is a number and the other is a collection of infinitely many functions. The equation
Example 21
Determine if the answer is correct.
Example 22
Determine if the answer is correct.
Example 23
Determine if the answer is correct.
for all x > 0
Example 24
Determine if the answer is correct.
Example 25
Determine if the answer is correct.
for all x for which
(x + 2) and (3x – 7) are positive.
was the correct answer.