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Question
If `int_0^alpha3x^2dx=8` then the value of α is :
(a) 0
(b) -2
(c) 2
(d) ±2
Solution
(c)
`int_0^alpha3x^2dx=8`
⇒ `[(3x^3)/3]_0^alpha=8`
⇒ `[x^3]_0^alpha=8`
⇒ α3=8
∴ α = 2
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