6.7/6.8. 10 ### Topic: Integration#### ProblemEvaluate the integral:\[\int \frac{2 - 8x}{\sqrt{49 - 4x^2}} \, dx\]#### Solution ApproachTo evaluate the given integral, we may need to apply techniques of integration such as substitution, integration by parts, or recognizing standard forms of integrals. Here's a step-by-step guide to approach this integral:1. **Identify Substitution:** Look for a substitution that simplifies the square root expression in the integral.2. **Simplify the Integrand:** Perform the substitution and simplify the integrand, if possible, into a standard form.3. **Integrate:** Use appropriate integration techniques based on the simplified form, such as trigonometric substitution, partial fractions, or integrating known standard forms.4. **Reverse Substitution:** If you used substitution, revert back to the original variable to express the final answer.The specific steps and simplifications will depend on how the square root can be made into a standard integrable form. **Intermediate steps and discussions would be shown here as the solution is worked out.**Students are encouraged to explore different methods and verify the integral using their understanding of calculus and integration techniques.

Name: 6.7/6.8. 10 ### Topic: Integration#### ProblemEvaluate the integr
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 6.7/6.8. 10 ### Topic: Integration#### ProblemEvaluate the integral:\[\int \frac{2 - 8x}{\sqrt{49 - 4x^2}} \, dx\]#### Solution ApproachTo evaluate the given integral, we may need to apply techniques of integration such as substitution, integrat