# E4Review - Exam 4 Review MAC 2311 This is intended to be a...

This preview shows pages 1–2. Sign up to view the full content.

Exam 4 Review – MAC 2311 * This is intended to be a tool to help you review some of the material that could appear on the exam. It is not inclusive of all topics discussed in lecture. 1. Evaluate the following integrals: Z 1 ( x + 1) 2 d x Z e 4 x ( e 2 x - 4) 2 d x Z 3 tan(2 x )(sec(2 x ) - 1) d x Z e 4 1 ( ln( x ) ) 2 x d x Z ( x + 1 ) 2 x d x Z 5 0 | 9 - x 2 | d x Z 2 0 x e 1 - x 2 d x Z π 2 0 sin( x ) 3 p 1 + cos( x ) d x Z (1 + sin( x )) 2 cos 2 ( x ) d x Z e x ( e x + e ) 5 d x Z x 2 4 - x d x Z 5 x + 3 1 + x 2 - xe x 2 d x 2. True or false: a) Z x 1 g 0 ( t ) d t = d dx Z x 1 g ( t ) d t b) Z b a [ f ( t ) ] 2 d t = h Z b a f ( t ) d t i 2 3. The height (in meters) of water in a drainage pipe changes at a rate of γ ( t ) = 2 sin( t 2 ) cos 2 ( t 2 ) meters per hour. At t = 0 the height is 1 2 meters. Find the height of the water at every time t . 4. Find the area of the region on [ 0 , ln(81) ] bounded by the x -axis and the function f ( x ) = 18 + e 1 4 x x 4

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

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

{[ snackBarMessage ]}

### Page1 / 2

E4Review - Exam 4 Review MAC 2311 This is intended to be a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online