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Common Integrals
Definite Integrals
Integrals
Fundamental Theorem of Calculus
100

ƒ sinx dx

What is -cosx + c

100
ƒ x^2 dx from 0 to 2
What is 8/3
100

What do you need to find first when you solve an indefinite integral?

What is an antiderivative

100

FTC says that ƒ f(x)dx from a to b =_______

What is F(b)-F(a)

200
ƒ e^x dx
What is e^x + c
200
ƒ 5x^4 + 2 dx from 4 to 10
What is 98988
200
What is an antiderivative also called?
What is an indefinite integral
200

FTC1 can be applied to any function that is _______

What is continuous

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
In the following equation what is f(x) called? ƒ f(x) dx
What is the integrand
300

FTC 2 says that the derivative of an area function is _______

What is the integrand or original function

400
ƒ csc^2x dx
What is -cotx + c
400
ƒ 3 dx from 5 to 12
What is 21
400

What always goes at the end of an indefinite integral?

What is +C

400

To use FTC 2, the bounds of integration must be ___________ and _______________

What are a constant and a variable?

500
ƒ 1/(1+x^2) dx
What is tangent inverse + c
500

ƒ sin(x) from 0 to pi/2

1

500

When using a graph to find an integral, what distinguishes postivie/negative?

What is above or below the x-axis

500

(d/dx)ƒ cos(3t+1)dt from 1 to x equals ________

What is cos(3x+1)