JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

Let

f

be a polynomial function such that for all real

x, f\left(x^2+1\right)=x^4+5 x^2+2

, then

\int f(x) d x

View answer and explanation

Correct option: A

\frac{x^3}{3}+\frac{3 x^2}{2}-2 x+c

Option A,

\frac{x^3}{3}+\frac{3 x^2}{2}-2 x+c

, is correct because by substituting

x^2+1

into f, we can determine f(x) and then integrate it.

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