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Question
Choose the correct alternative :
`int_(-7)^7 x^3/(x^2 + 7)*dx` =
Options
7
49
0
`(7)/(2)`
Solution
Let f(x) = `x^3/(x^2 + 7)`
∴ f(– x) = `(-x)^3/((-x)^2 + 7)`
= `x^3/(x^2 + 7)`
= – f(x)
∴ f(x) is an odd function.
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