What is the integral of f(x) = 1 + x2 + x4 with respect to x2?

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NDA 02/2021: Maths Previous Year paper (Held On 14 Nov 2021)
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Answer (Detailed Solution Below)

Option 4 :
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NDA 01/2025: English Subject Test
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Detailed Solution

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Concept: 

 =       ....(i)

Calculation:

Let, x2 = u

From equation (i)

 = 

⇒ u +  + + C

Now putting the value of u,

​⇒  = x2 +​  +  + C

∴ The required integral is x2 +​  +  + C.

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