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  • Try this! What is the value of integration of the shaded region ?

What is the value of integration of the shaded region ?

  • Option 1)

    A + B + C

  • Option 2)

    A - B + C

  • Option 3)

    - A - B - C

  • Option 4)

    A + B - C

 

Answers (1)

best_answer

As we have learnt,

 

Geometrical integration of a definite integral -

An algebraic sum of the area of the figure bounded by the curve y = f(x), the x axis and the striaght lines x=a and x=b. The areas above x axis are taken as positive and the areas below x axis are taken as negative.  
 

- wherein

Where a< b

Hence

\int_{a}^{b}f\left ( x \right )dx=

ar\left ( PAQP \right )-ar\left ( QTRQ \right )+ar\left ( RBSR \right )

 Value of integration is = A - B + C

since B is below x -axis

 


Option 1)

A + B + C

Option 2)

A - B + C

Option 3)

- A - B - C

Option 4)

A + B - C

Posted by

Plabita

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