for final exam Flashcards
(18 cards)
1
Q
integral of a^x
A
a^x/ln(a)
2
Q
integral of secx
A
ln(secxtanx)
3
Q
integral of sec^x
A
tanx
4
Q
what substitution is used for root(a^2-x^2)
A
x=asintheta
5
Q
what substitution is used for root(a^2+x^2)
A
x=atantheta
6
Q
mass of plate
A
double integral of mass density r dr dtheta
7
Q
centre of mass
A
1/m(double integral of x or y times mass density r dr dtheta
8
Q
e^x
A
x^n/n! from 0 to infinity
9
Q
sinx
A
(-1)^nx^2n+1/(2n+1)! from 0 to infinity
10
Q
cos
A
(-1)^nx^2n/(2n)! from 0 to infinity
11
Q
1/1-x
A
x^n from 0 to infinity x<1
12
Q
ln(1+x)
A
(-1)^n+1x^n/n from 1 to infinity x<1
13
Q
arctanx
A
(-1)^nx(2n+1)/2n+1 from 0 to infinity x<1
14
Q
coshx
A
x^2n/(2n)! from 0 to infinity
15
Q
sinhx
A
x^2n+1/(2n+1)! from 0 to infinity
16
Q
ln(1-x)
A
-x^n/n from 1 to infinity x<1
17
Q
sin2x
A
2sinxcosxc
18
Q
cos2x
A
2cos^2(x)-1
1-2sin^2(x)
