Math Test Flashcards
1
Q
what is the integral of dx/ax+b
A
1/a ln(ax+b)+c
2
Q
what is the integral of dx/a^2+x^2
A
1/a tan^-1 x/a+c
3
Q
what is the integral of dx/√1-x^2
A
sin^-1 x/a+c
4
Q
what is the integral of secx dx?
A
ln(secx + tanx) +c
5
Q
what is the integral of tanx dx?
A
ln(secx) +c
6
Q
what is the integration by parts formula?
A
uv - ∫vdu
7
Q
what is the integral of csc^2xdx?
A
-cotx +c
8
Q
what is sec^2x equal to?
A
1+tan^2x
9
Q
what is sin^2x+cos^2x equal to
A
1
10
Q
what is sin^2x equal to
A
1-cos2x/2
11
Q
what is cos^2x equal to?
A
1+cos2x/2
12
Q
how do you evaluate the integral of sin^mxcos^nx
A
if n is positive & odd, let u=sinx
if m is positive and odd, let u=cosx
13
Q
how do you evaluate tan^mxsec^nx?
A
if n is positive and even, u=tanx
if both are odd, let u=secx
14
Q
what is csc^2 equal to
A
1+cot^2
15
Q
what do you make it it is √a^2-x^2?
A
x=asinx
