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Which of the following is NOT true?

  • Option 1)

    \int_{a}^{b} f(x)dx = F(b) - F(a)

  • Option 2)

    \int_{a}^{0}f(x)dx = -F(a)

  • Option 3)

    \int_{b}^{a}f(x)dx = F(a) - F(b)

  • Option 4)

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

 

Answers (1)

best_answer

As we have learnt,

 

lower and upper limit -

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

                = F\left ( b \right )-F\left ( a \right )

 

- wherein

Where a is lower and b is upper limit.

 

 \int_{0}^{a}f(x)dx = F(0) - F(a)

and F(0) may or may not be equal to 0

 


Option 1)

\int_{a}^{b} f(x)dx = F(b) - F(a)

Option 2)

\int_{a}^{0}f(x)dx = -F(a)

Option 3)

\int_{b}^{a}f(x)dx = F(a) - F(b)

Option 4)

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

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gaurav

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