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1-2-dx-x-1-




Question Number 187525 by sciencestudentW last updated on 18/Feb/23
∫_(−1) ^2 (dx/( (√(∣x−1∣))))=?
$$\underset{−\mathrm{1}} {\overset{\mathrm{2}} {\int}}\frac{{dx}}{\:\sqrt{\mid{x}−\mathrm{1}\mid}}=? \\ $$
Answered by ARUNG_Brandon_MBU last updated on 18/Feb/23
=∫_(−1) ^1 (dx/( (√(1−x))))+∫_1 ^2 (dx/( (√(x−1))))
$$=\int_{−\mathrm{1}} ^{\mathrm{1}} \frac{{dx}}{\:\sqrt{\mathrm{1}−{x}}}+\int_{\mathrm{1}} ^{\mathrm{2}} \frac{{dx}}{\:\sqrt{{x}−\mathrm{1}}} \\ $$

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