Question

`int_-9^9 x^3/(4 - x^2)` dx = ______

पर्याय

• 0

• 1

• -1

• 2

Answer 1

`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`