Common Integrals
Definite Integrals
Integration by Substitution/ Parts
Tabular Integration
Integrals
100
ƒ sinx dx
What is -cosx + c
100
ƒ x^2 dx from 0 to 2
What is 8/3
100
What is this the formula for? udv - ƒvdu
What is the integral by parts formula
100
What 2 conditions need to be met in order to use Tabular integration?
What is one function can be differentiated repeatedly to become zero and the other function can be integrated repeatedly without difficulty
100
What do you find when you solve an indefinite integral?
What is an antiderivative
200
ƒ e^x dx
What is e^x + c
200
ƒ 5x^4 + 2 dx from 4 to 10
What is 98988
200
The rule you use to determine u and dv
What is Lipet
200
Solve using tabular integration ƒ 3x^2 e^x dx
What is 3x^2e^x - 6xe^x + 6e^x
200
What is an antiderivative also called?
What is an indefinite integral
300
ƒ 1/x dx
What is lnx + c
300
Definite Integrals find the value between the curve and the ......
What is the x-axis
300
What does Lipet stand for?
L- ln I- Inverse trig P - Polynomial E- Exponential T- Trigonometric
300
Solve using tabular integration ƒ 6x^2 cosx dx
What is 6x^2sinx + 12xcosx - 12sinx
300
In the following equation what is f(x) called? ƒ f(x) dx
What is the integrand
400
ƒ csc^2x dx
What is -cotx + c
400
ƒ 3 dx from 5 to 12
What is 21
400
Solve ƒ sin(10x + 4) dx
What is -1/10 cos (10x + 4) + c
400
Solve using tabular integration ƒ 5xsinx dx
What is -5xcosx + 5sinx
400
1/(b-a) ƒ f(x) dx is the....
What is the mean value theorem for definite integrals
500
ƒ 1/(1+x^2) dx
What is tangent inverse + c
500
ƒ What is this symbol called?
What is the integral symbol
500
What is the fundamental theorem of calculus part 2?
ƒ f(x) dx = F(b) - F(a)
500
What rule is also used with tabular integration?
What is Lipet
500
Name 2 rules for definite integrals?
What is order of integration, zero, constant multiple, sum and difference, additivity, max-min inequality, and domination
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