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Evaluate int(1-x^(2))/(1+x^(2))dx....

Evaluate `int(1-x^(2))/(1+x^(2))dx.`

Text Solution

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`int(1-x^(2))/(1+x^(2))dx=int((2)/(1+x^(2))-1)dx`
`=2 int(1)/(1+x^(2))dx-int1dx`
`=2tan^(-1)x-x+c`
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