JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

Let

\alpha, \beta, \gamma

be the three roots of the equation

x^{3}+b x

+c=0

. If

\beta \gamma=1=-\alpha

, then

b^{3}+2 c^{3}-3 \alpha^{3}-6 \beta^{3}-

8 \gamma^{3}

is equal to

View answer and explanation

Correct option: D

Option A (

\frac{e+2}{e+1}-\log _{e}(e+1)

) is correct because after solving the integral and applying the given limit condition, the value of I(1) is found to be

\frac{e+2}{e+1}-\log _{e}(e+1)

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