Advertisements
Advertisements
Question
`int_(-1)^1 (x + x^3)/(9 - x^2) "d"x` = ______.
Options
0
1
`pi/4`
`pi/2`
MCQ
Fill in the Blanks
Solution
`int_(-1)^1 (x + x^3)/(9 - x^2) "d"x` = 0.
Explanation:
Let f(x) = `(x + x^3)/(9 - x^2)`
∴ `"f"(- x) = (-x - x^3)/(9 - x^2)`
= `- (x + x^3)/(9 - x^2)`
= – f(x)
∴ f(x) is an odd function.
∴ `int_(-1)^1 (x + x^3)/(9 - x^2) "d"x` = 0
shaalaa.com
Is there an error in this question or solution?
