Number 7: sin x the last thing you want in your derivative equation is sin x.
a dx
ax + c
𝑥ⁿ 𝑑𝑥
x^n+1 / n+1 + c
1/x dx
ln |x| + c
𝑒^x 𝑑𝑥
e^x + c
a^x dx
a^x / ln a +c
ln x dx
x ln x -x +c
sin x dx
-cos x +c
cos x dx
sin x +c
tan x dx
ln | secx | +c
cot x dx
ln | sinx | +c
sec x dx
ln | secx + tanx | + c
csc x dx
ln | cscx -cotx | + c
sec^2 x dx
tanx +c
secx tanx dx
secx + c
csc^2 dx
-cotx + c
cscx cotx dx
-cscx + c
𝑡𝑎𝑛² x dx
tanx - x + c
1 / (𝑎² + 𝑥²) 𝑑𝑥
(1/a) tan^-1 x/a +c
1 / ( a^2 -x^2)^ (1/2) dx
sin^-1 x\a +c
1 / x ( x^2 - a^2)^ (1/2) dx
(1\a) sec^-1 |x\a| + c