s09 - -axis. (3) Calculate the integral Z 2 1 x 3 ln( x 2 )...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Mathematics 115b Mid-term # 1 2/18/09 Name: Section: Please answer all SIX questions; each question is worth TEN points. You may use the table of integrals supplied with the test. However, books, notes, calculators, computers, cellphones may NOT be used. 1 2 3 4 5 6 Total (1) Calculate the following integrals: (a) Z [ e x sin x + e x cos x ] dx . (b) Z tan - 1 x 1 + x 2 dx .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
(2) Find the volume of the solid obtained by rotating the region bounded by the curves y = x 2 - 4 x + 3, y = x - 1 about the y
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: -axis. (3) Calculate the integral Z 2 1 x 3 ln( x 2 ) dx . (4) Calculate the integral Z x 3 10 + x 8 dx . (5) Find the area of the region enclosed by the curves y = x , y = 2-x and the x-axis. (6) Which of the following improper integrals are convergent? You should give reasons, but you dont have to evaluate the integrals. (a) Z e x e 2 x + 1 dx . (b) Z 1 2 1-x 2 dx ....
View Full Document

This note was uploaded on 09/13/2011 for the course MATH 115 taught by Professor Staff during the Spring '08 term at Yale.

Page1 / 4

s09 - -axis. (3) Calculate the integral Z 2 1 x 3 ln( x 2 )...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online