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

$$\mathrm{Given}\mathrm{that}F\left(x\right)={\int }_0^x\frac{t^2}{\sqrt{t^2+1}}dt$$$$\mathrm{Show}\mathrm{that}F\left(x\right)\mathrm{is}\mathrm{an}\mathrm{increasing}\mathrm{function}$$

Answered by gsk2684 last updated on 13/Jul/21

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

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