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Evaluate: int(1+2x+3x^2+4x^3+....)dx ,(|...

Evaluate: `int(1+2x+3x^2+4x^3+....)dx ,(|x|<1)`

Text Solution

Verified by Experts

The correct Answer is:
`(1-x)^(-1)+C`
`int(1+2x+3x^(2)+4x^(3)+...)dx=int(1-x)^(-2)dx `
`=(1-x)^(-1)+C`
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