Question 10
IntegrationEvaluate ∫01 x2(x3 + 2)3 dx.
- A.56/12
- B.65/12
- C.12
- D.65
Show the answer and explanation
Answer: B (65/12)
Explanation
Let u = x³ + 2, du = 3x² dx: ∫ = (x³ + 2)⁴/12 from 0 to 1 = (81 − 16)/12 = 65/12.
Evaluate ∫01 x2(x3 + 2)3 dx.
Answer: B (65/12)
Let u = x³ + 2, du = 3x² dx: ∫ = (x³ + 2)⁴/12 from 0 to 1 = (81 − 16)/12 = 65/12.