serve_file.php X serve_file.php x Q mathaway - Se X Mathway | Calc X DD) serve_file (2).pc x serve_file.php X P Purdue Univers X + X C & https://www.math.purdue.edu/php-scripts/courses/oldexams/serve_file.php?file... G G to . . . 13 of 15 Q A" V V A 21. Use one the formulas given on page 2 of the exam and the alternating series estimation theorem -0.1 to compute / In(1 + x) dx with an error less than 10-4 1 A. 200 6000 1 B. 300 6000 1 C. 100 2000 1 D. 500 5000 1 E. 200 8000 (2 - 3)272 ENG 8:40 PM 3 US 7/14/202210 . 1 In ( 1 + x ) dx tolerance = 10- ( error ) solve for indefinite integral: S in (1+x ) dx = Sinudu (Sraw ) let u = 1 + x use integration by posts. du = 1 dx let v = Inu dw = du du = dx dv du = u saw = [dy dv = _ du W = U Svow = vw - Swar = ( Inu ) ( W) - # # du = ulnu - [ du = ulnu - u let u = 1+x ( undo) = (1 + x ) In(1+x) - (1+x) + c = (1 + x ) In (1+x ) - 1 - x+ c apply boundaries : ( 1+x ) In (1+* ) - 1-x ]." = ( 1 + 0 .1 ) In ( 1 + 0.1) - 1 - 0.1/ - (1+ 0 ) In ( 14 0 ) - 1- 07 = - D . 995 158 BOZZ - ( - 1 ) = 4. 8411978 X - 3 A . = 4- 8333 X10 within 104 200 error towinan 4