quiz4_sol_1

quiz4_sol_1 - Math 118: 39439, Quiz 4, November, 13, Fall...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 118: 39439, Quiz 4, November, 13, Fall 2008, Name: : . Discussion : PROBLEM 1 (3 pts) Find the antiderivatives Substitute u = x2 + 1, du = 2xdx, x2 2x dx = +1 2x dx x2 +1 du = ln |u| + C = ln |x2 + 1| + C. u PROBLEM 2 (3 pts) Find the antiderivatives x(x + 1)8 dx. Integrate by parts g = (x + 1)8 , f = x, x(x + 1)8 dx = (x + 1)9 x- 9 (x + 1)9 (x + 1)9 (x + 1)10 1dx = x- + C. 9 9 90 PROBLEM 3 (4 pts) Find the antiderivatives x3 ex dx. Integrate by parts three times, rst g = ex , f = x3 , then f = x2 , then f = x x3 ex dx = x3 ex - 3 x2 ex dx xex dx xex dx ex dx = x3 ex - 3 x2 ex dx - 2 = x3 ex - 3x2 ex dx + 6 = x3 ex - 3x2 ex dx + 6 xex - = x3 ex - 3x2 ex dx + 6xex - 6ex + C. End. ...
View Full Document

Ask a homework question - tutors are online