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

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

Concept: Properties of Definite Integrals
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