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If ∫α0 3x^2 dx=8 then the value of α is - Mathematics and Statistics

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If `int_0^alpha3x^2dx=8` then the value of α is :

(a) 0

(b) -2

(c) 2 

(d) ±2

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Solution

(c)

`int_0^alpha3x^2dx=8`

⇒ `[(3x^3)/3]_0^alpha=8`

⇒ `[x^3]_0^alpha=8`

⇒ α3=8

∴ α = 2

 

Concept: Properties of Definite Integrals
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