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