click below
click below
Normal Size Small Size show me how
Basic Integration
Question | Answer |
---|---|
d/dx[C] | 0 |
d/dx[kx] | k |
d/dx[kf(x)] | kf'(x) |
d/dx[f(x)+- g(x)] | f'(x)+- g'(x) |
d/dx [x^n] | nx^n-1 |
d/dx [sin x] | cos x |
d/dx [cos x] | -sin x |
d/dx [tan x] | sec^2 x |
d/dx [sec x] | sec x tan x |
d/dx [cot x] | csc^2 x |
d/dx [csc x] | -csc x cot x |
S 0dx | C |
S k dx | kx + C |
S kf (x) dx | k S f(x)dx |
S [f(x) +- g (x) dx | S f(x) dx +_ S g(x) dx |
S x^n dx | (x^n+1/ n+1) + C, n # - 1 |
S cos x dx | sin x + C |
S sin x dx | -cos x +C |
Ssec^2 x dx | tan x + C |
S sec x tan x dx | sec x + C |
S csc^2 x dx | - cot x + C |
S csc x cot x dx | -csc x + C |