Integration as reverse differentiation
Find an antiderivative and explain the constant of integration.
- Integration finds a function whose derivative is the expression given.
- If
, then . - Add
because every constant has derivative zero. Check by differentiating your answer.
Example 1
Integrate with respect to
Example 2
Integrate with respect to
Your turn
Question 1
Integrate with respect to
Check answer
Question 2
Integrate with respect to
Check answer
Question 3
Integrate with respect to
Check answer
Question 4
Integrate with respect to
Check answer
Question 5
Integrate with respect to
Check answer
Integrate with respect to
Integrate with respect to
Integrate with respect to
Integrate with respect to
Integrate with respect to