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Indefinite Integrals question

2021 · 27 Aug · Shift 1 · Q37

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JEE Main
Mathematics
Indefinite Integrals
2021 · 27 Aug · Shift 1 · Q37

Indefinite Integrals question

2021 · 27 Aug · Shift 1 · Q37

JEE MainMathematicsIndefinite IntegralsNumerical+4 / −1

If

\int {{{dx} \over {{{({x^2} + x + 1)}^2}}} = a{{\tan }^{ - 1}}\left( {{{2x + 1} \over {\sqrt 3 }}} \right) + b\left( {{{2x + 1} \over {{x^2} + x + 1}}} \right) + C}

, x > 0 where C is the constant of integration, then the value of

9\left( {\sqrt 3 a + b} \right)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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