HOME Trig Identities Common Values Unit Circle
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Unit Fractions
1/2 .5
1/3 .3
1/4 .25
1/5 .2
1/6 .16
1/7 .142857
1/8 .125
1/9 .1
1/10 .1
1/11 .09
1/12 .083
1/13 .076923
1/14 .0714285
1/15 .06
1/16 .0625
1/17 .0588235294117647
1/18 .05
1/19 .052631578947368421
1/20 .05
1/21 .047619
1/22 .045
1/23 .0434782608695652173913
1/24 .0416
1/25 .04
Prime log(s)
log(2) 0.30103
log(3) 0.47712
log(5) 0.69897
log(7) 0.84510
log(11) 1.04139
log(13) 1.11394
log(17) 1.23045
log(19) 1.27875
log(23) 1.36173
log(29) 1.46240
log(31) 1.49136
log(37) 1.56820
log(41) 1.61278
log(43) 1.63347
log(47) 1.67210
log(53) 1.72428
log(59) 1.77085
log(61) 1.78533
log(67) 1.82607
log(71) 1.85126
log(73) 1.86332
log(79) 1.89763
log(83) 1.91908
log(89) 1.94939
log(97) 1.98677
Prime ln(s)
ln(2) 0.69315
ln(3) 1.09861
ln(5) 1.60944
ln(7) 1.94591
ln(11) 2.39790
ln(13) 2.56495
ln(17) 2.83321
ln(19) 2.94444
ln(23) 3.13549
ln(29) 3.36730
ln(31) 3.43399
ln(37) 3.61092
ln(41) 3.71357
ln(43) 3.76120
ln(47) 3.85015
ln(53) 3.97029
ln(59) 4.07754
ln(61) 4.11087
ln(67) 4.20469
ln(71) 4.26268
ln(73) 4.29046
ln(79) 4.36945
ln(83) 4.41884
ln(89) 4.48864
ln(97) 4.57471
Exponents
x x2 x3 x4
1 1 1 1
2 4 8 16
3 9 27 81
4 16 64 256
5 25 125 625
6 36 216 1,296
7 49 343 2,401
8 64 512 4,096
9 81 729 6,561
10 100 1,000 10,000
11 121 1,331 14,641
12 144 1,728 20,736
13 169 2,197 28,561
14 196 2,744 38,416
15 225 3,375 50,625
16 256 4,096 65,536
17 289 4,913 83,521
18 324 5,832 104,976
19 361 6,859 130,321
20 400 8,000 160,000
Derivatives
d dx
C
 0
d dx
xn
 nxn-1
d dx
sin(x)
 cos(x)
d dx
cos(x)
 -sin(x)
d dx
tan(x)
 sec2(x)
d dx
cot(x)
 csc2(x)
d dx
sec(x)
 sec(x)tan(x)
d dx
csc(x)
 -csc(x)cot(x)
d dx
ex
 ex
d dx
ax
 (ax)ln(a)
d dx
ln(x)
1 x
d dx
arcsin(x)
1 sqrt(1-x2)
d dx
arccos(x)
-1 sqrt(1-x2)
d dx
arctan(x)
1 1+x2
d dx
arccot(x)
1 1+x2
d dx
arcsec(x)
1 |x|sqrt(x2-1)
d dx
arccsc(x)
-1 |x|sqrt(x2-1)
Integrals
∫k dx kx + C
∫xn dx
xn+1 n+1
+ C
∫cos(x) dx sin(x) + C
∫sin(x) dx -cos(x) + C
∫sec2(x) dx tan(x) + C
∫csc2(x) dx -cot(x) + C
∫sec(x)tan(x) dx sec(x) + C
∫csc(x)cot(x) dx -csc(x) + C
∫ex dx ex + C
∫ax
ax ln(a)
+ C
∫
1 x
dx
 ln|x| + C
∫
1 sqrt(1-x2)
dx
 arcsin(x) + C
∫
1 1+x2
dx
 arctan(x) + C
∫
1 x sqrt(x2-1)
dx
 arcsec(x) + C