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Evaluate f'(x) if     f (x)= \int (3x^{2}+5)dx

  • Option 1)

    6x

  • Option 2)

    3x

  • Option 3)

    6x+5

  • Option 4)

    3x^{2}+5

 

Answers (1)

best_answer

 

As we have learned

Rule for integration -

Differentation of the integration of a function is the function itself .

\frac{\mathrm{d} }{\mathrm{d} x}\left [ \int f\left ( x \right )dx \right ]=f\left ( x \right )

-

 

 F(x)= \int (3x^{2}+5)dx

F'(x)= d/dx \int (3x^{2}+5)dx = 3x^{2}+5

 


Option 1)

6x

This is incorrect

Option 2)

3x

This is incorrect

Option 3)

6x+5

This is incorrect

Option 4)

3x^{2}+5

This is correct

Posted by

gaurav

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