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\int_{0}^{4}\left [ x \right ]dx

  • Option 1)

    4

  • Option 2)

    3

  • Option 3)

    6

  • Option 4)

    2

 

Answers (1)

best_answer

As we learnt 

 

Piece wise Continnous Function -

 

Break th function into sub intervals and calculate integrals Separately.

- wherein

If f(x) has discontinnities in \left [ a,b \right ] at finite number of points

 

 \int_{0}^{4}\left [ x \right ]dx= \int_{0}^{1}\left [ x \right ]dx+ \int_{1}^{2}\left [ x \right ]dx+ \int_{2}^{3}\left [ x \right ]dx+ \int_{3}^{4}\left [ x \right ]dx

=\left [ 0 \right ]^{1}_{0}+\left [ 1x \right ]^{2}_{1}+\left [ 2x \right ]^{3}_{2}+\left [ 3x \right ]^{4}_{3}

=1+2+3=6

 


Option 1)

4

Option 2)

3

Option 3)

6

Option 4)

2

Posted by

gaurav

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