(1+2x+3x^2+4x^3+ ... )dx ( < 1) - Vidyadip

MCQ

$\int(1+2\text{x}+3\text{x}^2+4\text{x}^3+ ... )\text{dx }(\mid\text{x}\mid < 1)$

A
$-(1+\text{x})^{-1}+\text{c}$
✓
$(1-\text{x})^{-1}+\text{c}$
C
$-(1-\text{x})^{-2}+\text{c}$
D
None of these

✓

Answer

Correct option: B.

$(1-\text{x})^{-1}+\text{c}$

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