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$\int\limits_1^a {\left[ x \right]f'\left( x \right)dx =\ ......} ($જ્યાં $\left[ x \right]$ એ મહતમ પૂર્ણાંક વિધેય છે$)$

• 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
  $af\left( {\left[ a \right]} \right) - \left\{ {f\left( 1 \right) + f\left( 2 \right) + ... + f\left( a \right)} \right\}$