Mathematics · JEE | INTEGRALS

Given below are two statements:\n Statement I: While finding the integral of the second function during integration by parts, adding a constant of integration is necessary to obtain the correct final result.\n Statement II: The integral \( \int \log x dx \) is evaluated by taking \( \log x \) as the first function and constant function \( 1 \) as the second function.\nIn the light of the above statements, choose the most appropriate answer from the options given below:

1. A
   Statement I is correct but Statement II is incorrect.
2. B
   Both Statement I and Statement II are incorrect.
3. C
   Both Statement I and Statement II are correct.
4. D
   Statement I is incorrect but Statement II is correct.