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What is the best way to write the definite integration for shaded region?

  • Option 1)

    \int_{2}^{4}f(x)dx

  • Option 2)

    \int_{0}^{0}f(x)dx

  • Option 3)

    \int_{3}^{5}f(x)dx

  • Option 4)

    \int_{2}^{5}f(x)dx

 

Answers (1)

As we have learnt,

 

Definite integration -

When f\left ( x \right ) is integrated in a continuous limit, \left ( a,b \right ): a, b are known as limit of integration.

 

- wherein

Where a < x < b

 The shaded area is the area under the curve between x = 3 and x =5.

 


Option 1)

\int_{2}^{4}f(x)dx

Option 2)

\int_{0}^{0}f(x)dx

Option 3)

\int_{3}^{5}f(x)dx

Option 4)

\int_{2}^{5}f(x)dx

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Vakul

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