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Question Number 108990 by shahria14 last updated on 20/Aug/20

Answered by bobhans last updated on 20/Aug/20

$$\frac{\mathrm{♭}o\mathrm{♭}hans}{\varsigma ----\varsigma }$$$$setx-1=\mathrm{♭}\to \{\begin{array}{l}x=5\to \mathrm{♭}=4\\ x=1\to \mathrm{♭}=0\end{array};dx=d\mathrm{♭}$$$$\underset{1}{\stackrel{5}{\int }}f(x-1)dx=\underset{0}{\stackrel{4}{\int }}f\left(\mathrm{♭}\right)d\mathrm{♭}=0$$

Answered by Aziztisffola last updated on 20/Aug/20

$$\mathrm{t}=\mathrm{x}-1\Rightarrow \mathrm{dt}=\mathrm{dx}$$$${\int }_1^5\mathrm{f}(\mathrm{x}-1)\mathrm{dx}={\int }_0^4\mathrm{f}\left(\mathrm{t}\right)\mathrm{dt}=0$$

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