_-1^1 x^3 + |x| + 1/x^2 + 2|x| + 1dx is equal to Option 1: 1/2_e 2 - 1 Option 2: 2_e 2 Option 3: 2_e 2 - 2 Option 4: 4_e 2

The answer is '2_e 2'. View full solution:

Calculus > Integrals

Medium

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$\int_{-1}^1 \frac{x^3 + |x| + 1}{x^2 + 2|x| + 1}dx$ is equal to

$\frac{1}{2}\log_e 2 - 1$

$2\log_e 2$

$2\log_e 2 - 2$

$4\log_e 2$

✅ Correct Option: 2

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