calculus Flashcards
1
Q
d/dx coth x
A
-cosech^2 x
2
Q
d/dx tanh
A
sech^2 x
3
Q
d/dx cosech x
A
-cosechx cothx
4
Q
d/dx arsinh x
A
1/sqrt(x^2 + 1)
5
Q
d/dx arcosh x
A
(x^2 -1)^-1/2
6
Q
d/dx artanh x
A
1/(1-x^2)
7
Q
∫ tanh x dx
A
ln coshx
8
Q
∫coth x dx
A
ln sinhx
9
Q
∫ f’(x)f(x)^n dx
A
f(x)^(n+1)/n+1
10
Q
osborne’s rule
A
a product of two sines change the sign
11
Q
volume of revolution 2π around x-axis and what is condition
A
π ∫ y^2 dx
only counts the +ve part of graph hence the square
12
Q
volume of revolution 2π about y axis
A
π ∫ x^2 dy
only +ve part of graph hence square
