SUMMARY
The integral of the function 6/x² can be solved using the power rule of integration. The correct approach involves rewriting the integral as ∫6x^(-2)dx. By applying the power rule, which states to add one to the exponent and divide by the new exponent, the solution simplifies to -6/x. This method provides a clear and straightforward path to the solution without the need for substitution.
PREREQUISITES
- Understanding of basic integration techniques
- Familiarity with the power rule of integration
- Knowledge of rewriting functions in exponential form
- Ability to differentiate functions
NEXT STEPS
- Study the power rule of integration in detail
- Practice rewriting rational functions in exponential form
- Explore integration techniques involving substitution
- Learn about common integral forms and their solutions
USEFUL FOR
Students studying calculus, mathematics educators, and anyone seeking to improve their integration skills.