I tried to do these but need assistance. Thank you ## Integration Problems with Solutions**Instructions:** Use the appropriate method of integration (rules, substitution, parts, or partial fractions) to evaluate the integral.### Problems:a. \(\int (x - 2 + 6x^2) \, dx\)b. \(\int e^{\tan x} \sec^2 x \, dx\)c. \(\int \frac{2x + 6}{x^2 - 3x} \, dx\)d. \(\int x^3 \cos x \, dx\)e. \(\int x 4 \ln x \, dx\)f. \(\int \cos 4x \sin x \, dx\)g. \(\int \frac{x^2}{x^3 - 5} \, dx\)### Solutions:1. **Solution for a:** - \(\int (x - 2 + 6x^2) \, dx\) - Evaluate: \(\frac{x^2}{2} - 2x + 2x^3 + C\)2. **Solution for b:** - \(\int e^{\tan x} \sec^2 x \, dx\) - Evaluate: \(e^{\tan x} + C\)3. **Solution for c:** - \(\int \frac{2x + 6}{x^2 - 3x} \, dx\) - Evaluate: \(\ln |x - 3| - \ln |x| + C\)4. **Solution for d:** - \(\int x^3 \cos x \, dx\) (method not shown)5. **Solution for e:** - \(\int x 4 \ln x \, dx\) (method not shown)6. **Solution for f:** - \(\int \cos 4x \sin x \, dx\) (method not shown)7. **Solution for g:** - \(\int \frac{x^2}{x^3 - 5} \, dx\) - Evaluate: \(\frac{1}{3} \ln |x^3 - 5| + C\)Note: The solutions for some integrals were noted but not expanded upon in

Name: I tried to do these but need assistance. Thank you ## Integration Prob
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: I tried to do these but need assistance. Thank you ## Integration Problems with Solutions**Instructions:** Use the appropriate method of integration (rules, substitution, parts, or partial fractions) to evaluate the integral.### Problems:a. \(\int (x