#### To determine

The given statement is true or false.

#### Answer

False.

#### Explanation

Recall the comparison property of an integral

If fx≥0 for a≤x≤b, then ∫abfxdx≥0

Given,

fx=1x4; -2≤x≤1

The function f is not bounded on the interval -2≤x≤1 & has infinite discontinuity at x=0 so it is not integrable on the given interval. So the given statement is meaningless and hence false. Even if the integral were to exist, then it is non negative because a definite integral of non- negative function on that interval is always non- negative. i.e.

fx=1x4≥0;-2≤x≤1

By using the comparison property of integral

∫-211x4dx≥0 ; -2≤x≤1

But the given value ∫-211x4dx=-38 is negative.

So, the given statement is false.

**Conclusion:**

The given statement is false.