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What is the value of  \int_{a}^{b} f(x)dx ?

  • Option 1)

    26 sq units

  • Option 2)

    10 sq units

  • Option 3)

    11 sq units

  • Option 4)

    3 sq units

 

Answers (1)

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 )

 \int_{a}^{b}f(x)dx =7 -2 + 3 - 5 + 8 = 11

 


Option 1)

26 sq units

Option 2)

10 sq units

Option 3)

11 sq units

Option 4)

3 sq units

Posted by

subam

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