integration and hyperbolics Flashcards
(20 cards)
1
Q
what is the derivative of cosh-1 x
A
1/ ✔️x^2 -1
2
Q
what is the derivative of sinh-1 x
A
1/ ✔️x^2 + 1
3
Q
what is the derivative of tanh-1 x
A
1/ 1-x^2
4
Q
what is the integral of sinh
A
cosh + c
5
Q
what is the integral of cosh
A
sinh + c
6
Q
what is the integral of sech^2
A
tanh + c
7
Q
what is the integral of -tanhsech
A
sech + c
8
Q
what is the trig function for tan^2 x
A
tan^2 x + 1 = sec^2 x
9
Q
tanh-1 x =
A
1/2 ln|1+u/1-u|
10
Q
what is the derivative of sin-1 x
A
1/✔️1-x^2
11
Q
what is the derivative of cos-1 x
A
-1/✔️1-x^2
12
Q
what is the derivative of tan-1 x
A
1/1+x^2
13
Q
what is the tan-1 x standard integral form
A
1/a tan-1 (x/a) + c
14
Q
Integration by parts formula
A
{uv’ = uv - {u’v
15
Q
what is the derivative of cotanx
A
-cosec^2x
16
Q
derivative of tan
A
sec^2
17
Q
derivative of sec
A
tan sec
18
Q
derivative of cot
A
-csc^2
19
Q
derivative of csc
A
-csc cot
20
Q
A
