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1-4-1-x-dx-




Question Number 181872 by srikanth2684 last updated on 01/Dec/22
∫_(−1) ^4 (1/(∣x∣)) dx
$$\underset{−\mathrm{1}} {\overset{\mathrm{4}} {\int}}\frac{\mathrm{1}}{\mid{x}\mid}\:{dx} \\ $$
Answered by Frix last updated on 01/Dec/22
∫_(−1) ^4 (dx/(∣x∣))=∫_0 ^1 (dx/x)+∫_0 ^4 (dx/x) which doesn′t converge
$$\underset{−\mathrm{1}} {\overset{\mathrm{4}} {\int}}\frac{{dx}}{\mid{x}\mid}=\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{{dx}}{{x}}+\underset{\mathrm{0}} {\overset{\mathrm{4}} {\int}}\frac{{dx}}{{x}}\:\mathrm{which}\:\mathrm{doesn}'\mathrm{t}\:\mathrm{converge} \\ $$

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