Integration
The integral of -sin(x)
What is cos(x)?
The iterated integral for the double integral over the described region R, in either order (GB1)
Either:
What is 0</=x</=2 and x3</=y</=8
What is 0</=y</=8 and 0</=x</=y1/3
The equivalent integral with a reversed order of integration for OI1.
What is 0<y<4, 1<x<2?
The sketch of the region of integration for RI1.
What is the sketch of RI1?
The room we are in
What is Cotchett Edu 203?
The integral of sec2(y)?
What is tan(y)?
The iterated integral for the double integral over the described region R, in either order (GB2)
What is either
0<x<3, x2<y<3x or
0<y<3, y/3<x<root(y)
The equivalent integral with a reversed order of integration for OI2.
What is 2<y<4, 0<x<(4-y)/2?
The sketch of the region of integration for RI2.
What is the sketch of RI2?
The date of Exam 2.
What is November 7th?
The integral of (1-(1/w)) * cos(w - ln(w)) dw
What is sin(w - ln w) + c?
The iterated integral for the double integral over the described region R, in BOTH orders (GB3)
What are
0<x<2, 1<y<ex
1<y<e2, ln(y)<x<2
The equivalent integral with a reversed order of integration for OI3.
What is 0<x<1, x2<y<x?
The sketch of the region of integration for RI3.
What is the sketch of the region of RI3?
x and y in polar coordinates
What are
x = r cos(theta)
y = r sin(theta)
The integral of 1/(1+x2)
What is tan-1(x)?
The setup for the iterated integral for the double integral of f(x,y)=x2 over the described region R, in BOTH orders. R is the area bounded by y=3-2x, y=x, and x=0.
What are
0<x<1, x<y<3-2x
and the split integral
[0<y<1, 0<x<y] +[1<y<3, 0<x<(1/2)(3-y)]
The equivalent integral with a reversed order of integration for OI4.
What is -1<x<1, 0<y<(1-x2)1/2?
Sketch of the region of integration for the integral of f(x,y)=x/y over the region in the first quadrant bounded by the lines y=x, y=2x, x=1, and x=2.
What is RI4?
Find the volume of the solid cut from the first octant by the surface z=4-x2-y
What is 128/15?
The integral of xe6x
What is (x/6)e6x - (1/36)e6x + c?
(integration by parts)
The setup for the double integral of z=16-x2-y2 over the described region R, in BOTH orders. R is the area bounded by y=2x1/2, y=4x-2, and y=0.
What are
0<y<2, y2/4<x<(y+2)/4
and the split integral
[0<x<0.5, 0<y<2x1/2] + [0.5<x<1, 4x-2<y<2x1/2]
Write 6 different iterated triple integrals for the volume of the rectangular solid in the first octant bounded by the coordinate planes and the planes x=1, y=2, and z=3.
Sketch and evaluation of the integral for RI5
What is the sketch and evaluation of RI5?
Molly's favorite color.
What is blue?