Question

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

• A. $(1+x{)}^{-1}+c$
• B. $(1-x{)}^{-1}+c$
• C. $(1-x{)}^{-1}-1+c$
• D. None to these

Answer 1

Answer: (B)

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