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Solution - If ∫α0 3x^2 dx=8 then the value of α is - Properties of Definite Integrals

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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APPEARS IN

2014-2015 (March)
Question 4.1.2 | 2 marks
Solution for question: If ∫α0 3x^2 dx=8 then the value of α is concept: Properties of Definite Integrals. For the courses HSC Arts, HSC Commerce, HSC Commerce (Marketing and Salesmanship), HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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