1/36
Looks like no tags are added yet.
Name | Mastery | Learn | Test | Matching | Spaced | Call with Kai | Chat |
|---|
No analytics yet
Send a link to your students to track their progress
Integral
Integration is the reverse process of differentiation
Power Rule

Integrand

Integral

Indefinite Integral / Antiderivative / Primitive Integral
Integral with no restrictions imposed in its independent variables

Definite Integral
Integral that is defined by the limit values a and b of the independent variable

logarithm, exponent or trigonometric function
In u-substitution, u can be equal to mostly ___
Integration by parts

L-logarithm
I-inverse
A-alegebraic
T-trigo
E-exponential
Priority in IBP
Assign x=1.1
CALC the function using the x value
STO result to A
Compare A to the derivative of the choices
d/dx(choice) @ x=1.1 / A
Correct answer should be equal to 1
Calcu tech for integral
Apply linearity (if necessary) ex. ∫(x+y)dxdy=∫xdxdy+∫ydxdy
Pair the limits to its corresponding differential coefficient
Get the innermost pair and everything in between
Steps in computing for Multiple Integrals
Riemann Sum
method for approximating the area under a curve by dividing the area into many small rectangles and adding up their areas

change in x formula in riemann sum

Left reiemann sum

Right reiemann sum

Midpoint reimann sum

Sample point xi of left riemann sum
xi-1
Sample point xi of right riemann sum
xi
Sample point xi of midpoint riemann sum

Vertical strip
Area by integration

Horizontal strip
Area by integration


Area by integration in Polar Coordinates

Special Polar Graphs of Rose Curve
the limit to be used is their corresponding period

Special Polar Graphs of Rose Curves
the limit to be used is their corresponding period

Special Polar Graphs of Limacon with inner loop

Special Polar Graphs of Limacon with cardioid (heart-shaped)

Special Polar Graphs of Limacon with Dimpled limacon

Special Polar Graphs of Limacon with convex limacon


Formula to be used in the Special polar graphs up or down

Formula to be used in the Special polar graphs left or right

Special Polar Graphs of Circles


Special Polar Graphs of Circles


Special Polar Graphs of Lemniscate


Special Polar Graphs of Lemniscate
