MATH 141 Midterm: MATH141 Term Test 2 2017 Spring
Math 141 EXAM 2 Practice (Sec. 8.3, 8.4, 8.5, 8.7, 8.8, and 9.1)
Spring 2017
This practice test is meant to give a condensed overview of the type of problems that will
appear on Exam 2. All students should still study problems done in class for each section,
as well as practice worksheets and practice problems assigned from the book.
Directions: To receive full credit you not only need to give the correct answer, but also need
to show the correct work.
Evaluate the integrals:
(1). Zcos3xsin4x dx (2). Zsec4xtan2x dx
State the trigonometric substitution to use to find the integral. That is, state what
x=dx = and √. . . = should be.
(3). Z√4−x2dx (4). Zx2√x2−25 dx (5). Zx2√4x2+ 16 dx
Evaluate the integral: Zx3
√x2+ 36 dx
1
Document Summary
This practice test is meant to give a condensed overview of the type of problems that will appear on exam 2. All students should still study problems done in class for each section, as well as practice worksheets and practice problems assigned from the book. Directions: to receive full credit you not only need to give the correct answer, but also need (cid:90) to show the correct work. Evaluate the integrals: (1). cos3 x sin4 x dx (cid:90) (2). sec4 x tan2 x dx. State the trigonometric substitution to use to nd the integral. 4 x2 dx (4). x = (3). (cid:90) (cid:90) should be. x2 25 dx x2 (cid:90) (5). Evaluate the integral: (cid:90) x3 x2 + 36 dx. State the initial indeterminate form of the limit and then evaluate the limit using l"hopital"s. Rule as appropriate. (8). lim x 0+ (ex 1)x (10). lim x 0+ x ln x (9). lim x 1 ln x2.
