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Evaluate: inte^(x)(x^(2)-2x+2)/(x^(2)+...

Evaluate:
`inte^(x)(x^(2)-2x+2)/(x^(2)+2)^(2)dx`

Text Solution

Verified by Experts

Given integral `=inte^(x)(x^(2)-2x+2)/(x^(2)+2)dx = inte^(x){1/(x^(2)+2)+(-2x)/(x^(2)+2)^(2)}=e^(x)/(x^(2)+2)+C`
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