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Let
Integrating by parts
=>![g(x)=\frac{-1}{2}[x^{4} +2x^{2}+2]](https://learn.careers360.com/latex-image/?g%28x%29%3D%5Cfrac%7B-1%7D%7B2%7D%5Bx%5E%7B4%7D%20+2x%5E%7B2%7D+2%5D)
=>![g(-1)=\frac{-1}{2}[(-1)^{4} +2(-1)^{2}+2]](https://learn.careers360.com/latex-image/?g%28-1%29%3D%5Cfrac%7B-1%7D%7B2%7D%5B%28-1%29%5E%7B4%7D%20+2%28-1%29%5E%7B2%7D+2%5D)
So, option (3) is correct.
Option 1)
-1
Option 2)
1
Option 3)
Option 4)