Y1, C13 - Integration Flashcards
1
Q
Integrate 15x^2
A
5x^3 + c
1
Q
How do you integrate
A
Increase power by 1
Divide by new power
2
Q
What is the constant of integration
A
c
3
Q
What should always be included in indefinite integration
A
+ c
4
Q
What is indefinite integration
A
When the exact expression is unknown (due to the + c)
5
Q
What is missing from definite integration
A
There is no c
6
Q
Integrate 4x^3 dx from 5 to 1
A
y = x^4
Sub in 5: = 625
Sub in 1: = 1
625 - 1 = 624
7
Q
How do you find the area bound by a cubic and the curve
A
Split the integral into two pieces and add together the magnitudes
8
Q
If the top curve has equation y = f(x) and the bottom curve has y = g(x), what is the area between them
A
Integral of (f(x) - g(x)) dx.
From a to b where a and b are the intersections
