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Definite Integration question

2019 · 12 Apr · Shift 2 · Q36

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 12 Apr · Shift 2 · Q36

Definite Integration question

2019 · 12 Apr · Shift 2 · Q36

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

A value of

\alpha

such that

\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x + \alpha + 1} \right)}}} = {\log _e}\left( {{9 \over 8}} \right)

is :

A
2
B
- 2
C
${1 \over 2}$
D
$-{1 \over 2}$

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