Integration (3) Flashcards
What is ∫ cotx dx?
ln|sinx| + C
ln|sinx| + C
What is ∫ cotx dx?
What is ∫ cosecx dx?
-ln|cosecx + cotx| + C
-ln|cosecx + cotx| + C
What is ∫ cosecx dx?
What is ∫ secx dx?
ln|secx + tanx| + C
ln|secx + tanx| + C
What is ∫ secx dx?
What is sec^2 pheta?
1 + tan^2 pheta
1 + tan^2 pheta
What is sec^2 pheta?
What is cosec^2 pheta?
1 + cot^2 pheta
1 + cot^2 pheta
What is cosec^2 pheta?
What is ∫ (6x^5)(e^x^6) dx?
e^x^6 + C
e^x^6 + C
What is ∫ (6x^5)(e^x^6) dx?
What is ∫ e^sinx cosx dx?
e^sinx + C
e^sinx + C
What is ∫ e^sinx cosx dx?
What do differential equations have?
A dy/dx term
A dy/dx term
What do differential equations have?
What is the starting condition?
t=0
t=0
What is the starting condition?
What is integration by parts?
u*v - ∫(v * (du/dx) dx)
u*v - ∫(v * (du/dx) dx)
What is integration by parts?
Process for integration by substitition
Find u, integrate u to get du/dx
Rearrange du/dx to make dx the subject
Substitute dx at the end of the original equation
Integrate it
