1124worksheet7

1124worksheet7 - (a) Z 2 dθ √ θ 3 + θ 2 (b) Z 4 4 +...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
Polytechnic Institute of NYU MA 1124/1424 Worksheet 7 Print Name: Signature: ID #: Instructor/Section: Directions: Show all your work for every problem. Problem Possible Points 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 Total 100 1
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 (1) Calculate the integrals, if they converge. (a) Z 1 2 7 x + 4 dx (b) Z 0 1 ( x + 2)( x + 3)
Background image of page 2
3 (2) Calculate the integrals, if they converge. (a) Z e 1 x (ln x ) 2 dx (b) Z π/ 4 0 cos x sin x dx
Background image of page 3

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

View Full DocumentRight Arrow Icon
4 (3) Calculate the integrals, if they converge. (a) Z 2 - 2 1 x 2 - 1 dx (b) Z 5 4 1 (5 - x ) 2 / 5 dx
Background image of page 4
5 (4) Calculate the integrals, if they converge. (a) Z 9 1 1 3 x - 9 dx (b) Z 3 -∞ 1 x 2 + 9 dx
Background image of page 5

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

View Full DocumentRight Arrow Icon
6 (5) Find the values of p for which the integral converges and evaluate the integral for those values of p . Z e 1 x (ln x ) p dx
Background image of page 6
7 (6) Decide if the improper integral converges or diverges. (a) Z 1 cos 2 x x 2 dx (b) Z 1 1 x 3 + 5 dx (c) Z π/ 2 0 dx x sin x (d) Z 1 2 - x 2 dx
Background image of page 7

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

View Full DocumentRight Arrow Icon
8 (7) Decide if the improper integral converges or diverges.
Background image of page 8
Background image of page 9

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

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (a) Z 2 dθ √ θ 3 + θ 2 (b) Z 4 4 + sin 4 x √ x dx (c) Z ∞ dy e 2 y + 5 y (d) Z 1 e-x √ x dx 9 (8) Decide if the improper integral converges or diverges. (a) Z ∞ e dx √ x + 1 ln x (b) Z ∞ 1 ln x x 2 dx (c) Z ∞ 10 1 z 2-16 dz (d) Z ∞ 1 x √ 1 + x 5 dx 10 (9) Decide if the improper integral converges or diverges. (a) Z ∞-∞ dx 4 x 2 + 4 x + 5 (b) Z ∞ 1 arctan x x 2 dx (c) Z ∞ 1 ( x + 2) 4 dx (d) Z 1-1 x + 1 3 √ x 4 dx 11 (10) The function f ( x ) = 1 √ 2 π Z x-∞ e-t 2 / 2 dt is important in statistics. Show that the integral on the right converges for all real x ....
View Full Document

This note was uploaded on 12/09/2009 for the course MA 1124/1424 taught by Professor Harvanshmanocha during the Spring '09 term at NYU Poly.

Page1 / 11

1124worksheet7 - (a) Z 2 dθ √ θ 3 + θ 2 (b) Z 4 4 +...

This preview shows document pages 1 - 11. Sign up to view the full document.

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