Hwk Improper integration

Pg 540-541

#1, 3, 6, 9, 11, 14, 17, 20, 22, 23, 25, 30, 33, 39, 41, 43, 44, 46

Probably 1 hour of work

Due Date: 1-24-17 (Tuesday)

improp integ notes

HWK partial fraction decomposition integration

Pg  515 # 7, 11, 13, 16, 17, 18, 19, 23, 24, 26, 27, 29

Probably 1 hour of work

Due Date: 1-17-17

partial fraction integration

Trig sub hwk worksheet

problems 1-7

probably 50 min to 1 hr work


Due Date: 1-10-17 (Tuesday)

Trig sub notes

Quiz expectations for Friday

Quiz Expectations (Integration by parts and Even and odd powers of Trig functions)

1)  Integration by parts involving something the tabular method will not work for (Algebraic times lnx, or single transcendental function like lnx, arctanx, arcsinx, etc…….)  Pg 487  #9, 14, 22, 25, 27, 28 or integral of lnx _____________

2)  Integration by parts with a tabular method (algebraic raised to a higher power times transcendental)

Pg 487  #11, 46, 47, 48 _______________________

3)  Integration by parts never-ending story (exponential function times trig)

Pg 487 #29, 30 ____________________________

4)  Even and odd power of trig function(where either sinx or cosx will be raised to an odd power)

Pg  496 #3, 4, 5, 7 ____________________________________

5)  Even and odd power of trig function(where you will have to save a secant squared or a secant times a tangent)

Pg 496  #26, 29, 31(make the tangent to the fifth power)______________________

6)  Even and odd power of trig function(where you will have to use power reducing identities)

Will pick one of the following three integrals , ,

Bonus:  Either will be a sine cosine integral with different periods that use the identities you can have written on a notecard, or will be something like tangent raised to an even power like 4 or 6.

Even and odd powers of sine/cosine and secant/tangent

Pg 496-497

#4, 5, 6, 7, 9, 18, 22, 24, 26, 27, 29, 32, 41, 47, 50, 55, 56, 60


Probably 1 hour to 1 hour and 10 min of work


Due Date: 12-22-16

even and odd powers of trig notes

Hwk Integration by Parts

Pg 487

#3, 6, 8  (for these just identify u and dv do not do integral), 9, 12, 14, 15, 16, 18, 20, 21, 23, 25 26, 28, 29, 39, 42, 46, 47, 50

Probably 1 hour of work

Due Weds: 12-19-16

int by parts notes

Quiz expectations for Monday/Tuesday

Review guide for Calc 2 (BC) quiz on new integration apps.

1.  1 problem on motion of particle (will include sketch of graph, vel. vector and the sketch of the vel. vector, acc. vect. and the sketch of the acceleration vector, and speed of the particle at a moment in time on a given interval.  Will be algebraic.   (NC):    Pg 791-792  #1, 3______________

2.  Given slope fields or diff equation match the other one (6 to 8 problems) with use of graphing calculator and without. (3-4 on each section):  Slope field packet  #4-8 ___________________

3.  1 Given diff. eq. create a 2 x 2 slope field and sketch a particular solution (NC): Slope field packet #1-6 ___________________

4)  1 given differential eq. and starting point estimate solution with probably 4 steps will have reasonable fractions (Eulers NC):  Euler’s Method worksheet #1B, #2, #3 ________________

5)  1 or 2  Eulers with many steps use calculator program, all I need is answer.  (Calc active):  Euler’s method worksheet #5-9 _______________

6)  2 linear approximations

A)  One with a table estimate a pop in a given year. (NC):  Linear approximation packet #4, #5 _______________

B)  One find estimate of eq. with a prediction of under or over estimate, good estimate/ bad estimate. (Calc active):  Linear approximation packet #1, #2 ________________

7)  1 projectile motion problem (baseball, battleship shell, etc), I will provide speed you will not have to find. (Calc active):    See baseball and submarine problem in notes and problem #24, and #26 from pg 792 _____________

8)  1 Newton’s Method with your calculator, table will be provided.  Will tell you starting point and number of iterations (Calc Active):  Worksheet  1,2,3 _________________

9)  1 L’hopital’s rule new indeterminate form ( I will use the 1^inf case) (no Calc):  Worksheet 1,2,3,8 _______________

10)  1 find the speed of a three dimensional vector valued function at a specific time (Calc) :  Pg 791-792  #11, 14, 15 ___________________