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  • Try this! Which of the following integrals has maximum value?

Which of the following integrals has maximum value?

  • Option 1)

    \int_{0}^{3}(x^{2} - 3x + 2)\;dx

  • Option 2)

    \int_{0}^{3}|(x^{2} - 3x + 2)|\;dx

  • Option 3)

    \left | \int_{0}^{3}(x^{2} - 3x + 2)\;dx \right |

  • Option 4)

    All have same value

 

Answers (1)

best_answer

As we have learnt,

 

Properties of Definite Integration -

If f(x) is defined on x\in (a,b) then \left | \int_{a}^{b}f(x)dx \right |\leq \int_{a}^{b}\left | f\left ( x \right ) \right |dx

-

 

 Graph of x^{2} - 3x + 2

Graph of  |x^{2} - 3x + 2|


Option 1)

\int_{0}^{3}(x^{2} - 3x + 2)\;dx

Option 2)

\int_{0}^{3}|(x^{2} - 3x + 2)|\;dx

Option 3)

\left | \int_{0}^{3}(x^{2} - 3x + 2)\;dx \right |

Option 4)

All have same value

Posted by

prateek

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