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KCET2016MathematicsIndefinite Integration

The value of ( e^ 6 x -e^ 5 x e^ 4 x -e^ 3 x dx ) is equal to

Options

  1. A( 00 )
  2. B( x³ 3 )
  3. C( 3 x³ )
  4. D( 1 x )

Correct answer

B. ( x³ 3 )

Step-by-step solution

Given that, ( e^ 6 x -e^ 5 x e^ 4 x -e^ 3 x d x ) We know that ( e^ k x =x^ k ) [ array l So, I= x⁶-x⁵ x⁴-x³ d x = x⁵(x-1) x³(x-1) d x= x² d x = x³ 3 +c array ]

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