Can you help with these

Evaluate the integral f_5mdx 1m3+1/1a:3 Note: Use an uppercase "C" for the constant of integration. C] Use integration by parts and the technique of partial fractions to evaluate the integral f 103: arctan(x) dm Note: Use an uppercase "C" for the constant of integration. Cl Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. da = DO (202 + 9) 2Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. 2 2 + 49Evaluate the integral [6362 111(1 + :5) da: Note: Use an uppercase "C" for the constant of integration. C] 8 f 51n3da: 1 a) Approximate the definite integral with the Trapezoid Rule and n. = 6. D b) Approximate the definite integral with Simpson's Rule and n = 6. U For each of the following integrals, indicate whether integration by substitution or integration by parts is more appropriate, or if neither method is appropriate. Do not evaluate the integrals. 1. f msinscdm O A. substitution 0 B. integration by parts 0 C. neither O A. neither O B. integration by parts O C. substitution 3. f m4exsdm O A. neither O B. integration by parts O C. substitution 4. f m4 (203(35) dgx: O A. integration by parts O B. neither O C. substitution 1 5' f V52+1 dill O A. substitution 0 B. integration by parts 0 C. neither (Note that because this is multiple choice, you will not be able to see which parts of the problem you got correct.) The width w\Find da (5x + 11) V4x + 3 Answer: +C.s f V64m2d2: s a) Approximate the definite integral with the Trapezoid Rule and n = 4. b) Approximate the definite integral with Simpson's Rule and n = 4. C] c) Find the exact value of the integral. C]