Complete the definition of formula: integral udv=__________
What is uv- integral vdu
100
Solve integral (x^3) dx
What is (x^4)/4 + C
100
set up but do not evaluate y= sqrt(1-x^2) from x=0 to x= 1/4
What is integral from 0 to 1/4 of sqrt(1+(x^2/1-x^2))dx
100
What is the definition of Derivative?
What is f'(a)=lim [f(a+h)-f(a)]/h as h approaches infinite.
100
Does the sequence a=1/n diverge?
What is no
200
This is the derivative of arcsinu
What is 1/(sqrt 1-u^2) du/dx ; -1<u<1
200
Solve integral (x^3 + x^2 - x) dx
What is (x^4)/4 +C + (x^3)/3 + C - (x^2)/2 +C)
200
An equation for y in terms of x using the following:
dy/dx= 7x^2/y^3 ; y(3)=2
What is y= sqrt(28x^(3)/3 - 236)
200
d/dx cot x
What is -csc^2 x
200
Does the series diverge? ∑=x/√(4x^2 )
What is yes
300
This is the formula for Length of curve
What is integral from a to b sqrt(1+(dx/d)^2)
300
Find integral from 1 to 5 (x^2 - x) dx
What is 38/3
300
Integral from 0 to 1 dx/sqrt(x)
What is 2
300
d/dx tan^ -1 x
What is 1/ (1-x^2)
300
S=∑(2/3)^n from one to infinite. What is the value of S?
What is 2
400
The RULE to evaluating an integral like this : integral from 2 to 3 x^3 dx.
What is Fundamental Theorem of Calculus
400
Integral from 0 to pie/4 of sec^(2) x dx
What is 1
400
What is the length of the ac of the curve y^2=x^3 cut off by the line x=4 16/27 (10^(2/3) -1)
What is 16/27 (10^(2/3) -1)
400
e^(sinx+1)
What is cosx e^(sinx+1)
400
Does the following series diverge?
∑=1/(n ln(n)) from n+2 to infinite
What is yes.
500
2 rules of Comparison Test
What is 1. SUM[n = 1 to infinity] b.sub.n. converges, then SUM[n = 1 to infinity] a.sub.n converges
2. SUM[n = 1 to infinity] a.sub.n. diverges, then SUM[n = 1 to infinity] b.sub.n diverges
500
Integral from -(pie)/2 to (pie)/2 of sinx dx =
What is 0
500
The area enclosed by the ellipse with the parametric equation x=2cosx and y=3sinx equals what?
What is 6pi.
500
if x=cost and y=cos 2t,then d2y/dx2is what?
What is 4
500
Find the Maclaurin series for cos(x) up to the fourth power.