Simplifying before integration
Expand or simplify an expression before integrating.
- Expand brackets or divide every numerator term by the denominator first.
- Then integrate the resulting sum term by term.
- You cannot integrate a product by multiplying the integrals of its factors.
Example 1
Integrate with respect to
Example 2
Integrate with respect to
Your turn
Question 1 Simplify the expression before integrating. Use the power rule term by term.
Integrate with respect to
Check answer
Question 2 Simplify the expression before integrating. Use the power rule term by term.
Integrate with respect to
Check answer
Question 3 Simplify the expression before integrating. Use the power rule term by term.
Integrate with respect to
Check answer
Question 4 Simplify the expression before integrating. Use the power rule term by term.
Integrate with respect to
Check answer
Question 5 Simplify the expression before integrating. Use the power rule term by term.
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