MCQ

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$a > 1,\;\mathop \smallint \limits_1^a \left[ x \right]f'\left( x \right)dx = $

• A
  $af\left( a \right) - \left\{ {f\left( 1 \right) + f\left( 2 \right) + .\;.\;.\; + f\left( {\left[ a \right]} \right)} \right\}$
• ✓
  $\;\left[ a \right]f\left( a \right) - \left\{ {f\left( 1 \right) + f\left( 2 \right) + .\;.\;.\; + f\left( {\left[ a \right]} \right)} \right\}$
• C
  $\;\left[ a \right]f\left( {\left[ a \right]} \right) - \left\{ {f\left( 1 \right) + f\left( 2 \right) + .\;.\;.\; + f\left( a \right)} \right\}$
• D
  $\;af\left( {\left[ a \right]} \right) - \left\{ {f\left( 1 \right) + f\left( 2 \right) + .\;.\;.\; + f\left( a \right)} \right\}$