Midterm Game

Simple Integration

100

An odd function as symmetry about what?

The orgin

200

Is cos(x) an even or odd function?

Even

300

int_0^2(x^2-10)/(x-9)^-1dx

140

400

Find the Symmetry then solve: 

int_-1^1(6x^2-5)dx

Even, -6

U-Sub and logs

100

In what kind of functions is u-sub commonly used?

a.Trig

b.Log

c.Composite

Composite

200

True or False: You leave your answer in terms of U during u-sub equations?

False

300

int_2^7(12x^2)/(2x^3)dx

6ln(7)-6ln(2)

400

int(3x^3)/sqrt(1-6x^4)dx

-(sqrt(1-6x^3)/4)+C

Area and Volume

100

What is the Area between two curves formula?

int_a^b(f(x)-g(x))dx

200

What is the disc method equation?

pi *int_a^b(f(x))^2

300

Find the area between the curves, 

y=x^2-4 and y=0

-32/3

400

Find the volume of Solid of revolution generated by the region

y=e^-x , y=0, x=0, and x= ln7

 revolved about the x-axis

(48pi)/98

Trig sub/Integration by Parts

100

cos^2(x)=

1-sin^2(x)

200

What is the Reverse of Integration by Parts?

The product rule

300

DAILY DOUBLE:

int_1^4(sqrt(x^2+4x-5)/(x+2))dx

3sqrt3-pi

400

intln(3x)*e^12dx

e^12(xln(3x)-x)

Miscellaneous

100

True or False: A proper rational has numerator greater than the denominator

False

200

Simple Linear Factor is (x-r) to what power?

1

300

int(x^3-2)/(x+1)dx

-3ln(x+1)+x^3/3-x^2/2+x+C

400

Find the arc length of the following curve on the given interval with respect to x. 

y=(x^2+2)^(3/2)/3 on [0,1]

4/3