Question 5
IntegrationEvaluate: ∫01 x(x2 − 2)2 dx.
- A.1/7
- B.6/7
- C.1⅙
- D.3⅙
Show the answer and explanation
Answer: C (1⅙)
Explanation
Let u = x² − 2, du = 2x dx; u goes from −2 to −1. ½∫u² du = ½[u³/3] from −2 to −1 = ½(−1/3 + 8/3) = 7/6 = 1⅙.
Evaluate: ∫01 x(x2 − 2)2 dx.
Answer: C (1⅙)
Let u = x² − 2, du = 2x dx; u goes from −2 to −1. ½∫u² du = ½[u³/3] from −2 to −1 = ½(−1/3 + 8/3) = 7/6 = 1⅙.