Simple Integration
An odd function as symmetry about what?
In what kind of functions is u-sub commonly used?
a.Trig
b.Log
c.Composite
Composite
What is the Area between two curves formula?
int_a^b(f(x)-g(x))dx
cos^2(x)=
1-sin^2(x)
True or False: A proper rational has numerator greater than the denominator
False
Is cos(x) an even or odd function?
Even
True or False: You leave your answer in terms of U during u-sub equations?
False
What is the disc method equation?
pi *int_a^b(f(x))^2
What is the Reverse of Integration by Parts?
The product rule
Simple Linear Factor is (x-r) to what power?
1
int_0^2(x^2-10)/(x-9)^-1dx
140
int_2^7(12x^2)/(2x^3)dx
6ln(7)-6ln(2)
Find the area between the curves,
y=x^2-4 and y=0
-32/3
DAILY DOUBLE:
int_1^4(sqrt(x^2+4x-5)/(x+2))dx
3sqrt3-pi
int(x^3-2)/(x+1)dx
-3ln(x+1)+x^3/3-x^2/2+x+C
Find the Symmetry then solve:
int_-1^1(6x^2-5)dx
Even, -6
int(3x^3)/sqrt(1-6x^4)dx
-(sqrt(1-6x^3)/4)+C
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
intln(3x)*e^12dx
e^12(xln(3x)-x)
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