Question 38
IntegrationIntegrate ((1 + x)/x3) dx.
- A.2x2 − 1/x + k
- B.−1/(2x2) − 1/x + k
- C.−x2/2 − 1/x + k
- D.x2 − 1/x + k
Show the answer and explanation
Answer: B (−1/(2x2) − 1/x + k)
Explanation
Split as x−3 + x−2. Integrating gives −x−2/2 − x−1 + k = −1/(2x2) − 1/x + k.