Question Number 171708 by ilhamQ last updated on 20/Jun/22
$$\int_{\mathrm{0}} ^{\infty} \:\mathrm{2}{x}−\mathrm{3}\:{dx}=… \\ $$
Answered by puissant last updated on 20/Jun/22
![= lim_(A→∞) ∫_0 ^A 2x−3 dx =lim_(A→∞) [x^2 −3x]_0 ^(A ) = ∞.](https://www.tinkutara.com/question/Q171710.png)
$$=\:\underset{{A}\rightarrow\infty} {\mathrm{lim}}\:\int_{\mathrm{0}} ^{{A}} \mathrm{2}{x}−\mathrm{3}\:{dx} \\ $$$$=\underset{{A}\rightarrow\infty} {\mathrm{lim}}\:\left[{x}^{\mathrm{2}} −\mathrm{3}{x}\right]_{\mathrm{0}} ^{{A}\:} =\:\infty. \\ $$