MATHMETH EXAM 2
Mathematical Methods Formulas Cheat Sheet
Mensuration
area of a trapezium 1
2
abh+
()
volume of a pyramid
1
3
Ah
curved surface area
of a cylinder 2
π
rh volume of a sphere 4
3
3
π
r
volume of a cylinder
π
r 2harea of a triangle
1
2
bc Asin
()
volume of a cone 1
3
2
π
rh
Calculus
d
dx
xnx
nn
()
=−1xdx
n
xcn
nn
=
++≠
−
+
∫1
1
1
1,
d
dx
ax banaxb
nn
()+
()
=+
()
−1() ()
() ,ax bdxan ax bcn
nn
+=
+++≠−
+
∫
1
11
1
d
dx ea
e
ax ax
()
=edxa
ec
ax ax
=+
∫1
d
dx
xx
e
log()
()
=
1
1
0
x
dx xcx
e
=+>
∫
log(),
d
dx
ax
aa
xsin( )cos
()
()
= sin( )cos()ax dx aax c=− +
∫1
d
dx
ax
aa
xcos( )
()
−= sin( )cos( )sin ()ax dx aax c
=+
∫1
d
dx ax
a
ax
aa
xtan( )()
()
==cos sec
()
2
2
product rule
d
dx
uv u
dv
dx
v
du
dx
()
=+
quotient rule d
dx
u
v
v
du
dx u
dv
dx
v
=
−
2
chain rule
dy
dx
dy
du
du
dx
=
