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

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Correct option is B

Since,I=∫−11 x3+|x|+1x2+2|x|+1dxI=∫−11 x3x2+2|x|+1+∫−11 |x|+1x2+2|x|+1dx=0+2∫01 |x|+1(|x|+1)2dx [odd function + even function]=2∫01 x+1(x+1)2dx=2∫01 1x+1dx=2[log∣x+1∥]01=2log⁡2

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∫−11 x3+|x|+1x2+2|x|+1dx is equal to

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