If ∫₁² dx/((x² - 2x + 4)^(3/2)) = k/(k + 5), then k is equal to:

Integral Calculus: JEE Main 2017 Mathematics question

JEE Main 2017 · 9 Apr, Morning shift · Q3355

JEE Main 20179 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

\int\limits_1^2 {{{dx} \over {{{\left( {{x^2} - 2x + 4} \right)}^{{3 \over 2}}}}}} = {k \over {k + 5}},

then k is equal to :

JEE Main 2017 · 9 Apr, Morning shift · Q3355

JEE Main 20179 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

\int\limits_1^2 {{{dx} \over {{{\left( {{x^2} - 2x + 4} \right)}^{{3 \over 2}}}}}} = {k \over {k + 5}},

then k is equal to :