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Flashcards in Calculus Deck (8)
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1

Describe the integration by parts method 

2

State the derivative of sin(x)

cos(x)

3

State the derivative of cos(x)

-sin(x)

4

State the derivative of tan(x)

-sec2(x)

5

State the requirement for an ODE Pdx + Qdy = 0 to be an exact differential 

If ∂P/∂y = ∂Q/∂x, the ODE is an exact differential 

6

State the derivative of sec(x)

sec(x)tan(x)

7

Describe how to solve an exact differential of the form

Pdx + Qdy = 0 

Let P = ∂F/∂x and Q = ∂F/∂y and solve for F. 

 

Note that F = constant

8

Describe the absolute error in a taylor series expansion 

|f(x,x0) - p(x,x0)|