Integral -1 to 2 mod x^3-x
In its soln process they use -ve sign while integrating from 0 to 1.why?

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Solution

That is the defenition of |X| (modx)

|X|= X,if X>0
-X,IF X<0

HERE
|X^3-X|= X^3-X,If X^3-X>0
-(X^3 -X), If X^3-X<0

X^3-X is <0 In the intervel between 0 And 1 That is why that Became negative

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Integral -1 to 2 mod x^3-x In its soln process they use -ve sign while integrating from 0 to 1.why?

That is the defenition of |X| (modx) |X|= X,if X>0 -X,IF X<0 HERE |X^3-X|= X^3-X,If X^3-X>0 -(X^3 -X), If X^3-X<0 X^3-X is <0 In the intervel between 0 And 1 That is why that Became negative

Integral -1 to 2 mod x^3-x
In its soln process they use -ve sign while integrating from 0 to 1.why?

That is the defenition of |X| (modx)

|X|= X,if X>0
-X,IF X<0

HERE
|X^3-X|= X^3-X,If X^3-X>0
-(X^3 -X), If X^3-X<0

X^3-X is <0 In the intervel between 0 And 1 That is why that Became negative