JEE Advance - Mathematics (1979 - No. 2)

Evaluate $$\int {{{{x^2}dx} \over {{{\left( {a + bx} \right)}^2}}}} $$

${1 \over {{b^3}}}\left[ {a + bx - 2a\log \left| {a + bx} \right| - {{{a^2}} \over {a + bx}}} \right] + C

${1 \over {{b^2}}}\left[ {a + bx - a\log \left| {a + bx} \right| - {{{a^2}} \over {a + bx}}} \right] + C

${1 \over {{b^3}}}\left[ {a + bx + 2a\log \left| {a + bx} \right| - {{{a^2}} \over {a + bx}}} \right] + C

${1 \over {{b^3}}}\left[ {a - bx - 2a\log \left| {a + bx} \right| - {{{a^2}} \over {a + bx}}} \right] + C

${1 \over {{b^3}}}\left[ {a + bx - 2a\log \left| {a + bx} \right| + {{{a^2}} \over {a + bx}}} \right] + C