Given-that-F-x-0-x-t-2-t-2-1-dt-Show-that-F-x-is-an-increasing-function-

Question Number 146455 by physicstutes last updated on 13/Jul/21

Given that F (x) = \int_{0}^{x} \frac{t^{2}}{\sqrt{t^{2} + 1}} d t

Show that F (x) is an increasing function

Answered by gsk2684 last updated on 13/Jul/21

F^{} (x) = \frac{x^{2}}{\sqrt{x^{2} + 1}} ⩾ 0

F (x) i s a n i n c r e a s i n g f u n c t i o n

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