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Total number of distinct `x epsilon [0,1]` for which `int_(0)^(x) (t^(8)+1)/(t^(8)+t^(2)+1) dt=3x-2` is ______ |
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Answer» Correct Answer - 1 Let `f(x)=int_(0)^(x) (t^(8)+1)/(t^(8)+t^(2)+1)dt-3x+2` `f(0)=2, f(1)=` negative So, `f(x)` has one root in`[0,1]` |
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