MathsJEE Main 6 Apr 2026, Shift 2·Q20·MCQ·Easy–moderate

Definite Integration · Definite integral properties

The value of the integral

\displaystyle\int_{-1}^{1}\left(\frac{x^3 + \lvert x\rvert + 1}{x^2 + 2\lvert x\rvert + 1}\right)dx

is equal to

(1) $3\log_e2$
(2) $2\log_e2$
(3) $5\log_e3$
(4) $3\log_e3$

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