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`

**⇒ α**^{3}=8

∴ α = 2

** **

Concept: Properties of Definite Integrals

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