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  • Need clarity, kindly explain! - Integral Calculus - JEE Main-15

If F(x)= \int 3e^{x}dx   and G(x)= 3\int e^{x}dx    Then :

  • Option 1)

    F(1)=G(1)

  • Option 2)

    F(1)< G(1)

  • Option 3)

    F(1)> G(1)

  • Option 4)

    none of these

 

Answers (1)

best_answer

As we have learned

Rule for integration -

Integral of constant times a function is constant times integral of function 

\int kf\left ( x \right )dx=k\int f\left ( x \right )dx

- wherein

Where k is constant

 

 

Since F(x)= 3e^{x}+C_{1}

         G(x)= 3e^{x}+C_{2}

 

values of F(x) and G(x) depend on C_{1}and C_{2}


Option 1)

F(1)=G(1)

This is incorrect

Option 2)

F(1)< G(1)

This is incorrect

Option 3)

F(1)> G(1)

This is incorrect

Option 4)

none of these

This is correct

Posted by

gaurav

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