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  4. ∫ ( 1 + 2x + 3x2 + 4x3 + .... ) dx =

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Q. $\int ( 1 + 2x + 3x^2 + 4x^3 + .... ) dx = $

Integrals

Solution:

$\int (1 + 2x + 3x^2 + 4x^3 + ....) dx$
$\int ( 1 +x)^{-2} dx = ( 1 - x)^{-1} + c $