JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\int \,\,\frac{{\left( {{x^3} + 3{x^2} + 3x + 1} \right)}}{{{{\left( {x + 1} \right)}^5}}}\,\,\;dx

is equal to

View answer and explanation

Correct option: A

- \,\,\frac{1}{{\left( {x + 1} \right)}}\,\, + \,\,c

Option A (

\ - \,\frac{1}{{(x + 1)}}\, + \,c

) is correct because the integrand simplifies to

\frac{1}{{(x + 1)^2}}

, and its integral is

\ - \,\frac{1}{{(x + 1)}}\, + \,c

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