Fungsi trigonometri


Dari Wikipedia Indonesia, artikel bebas.

 

int sin{x}, dx = -cos{x} + C
int cos{x}, dx = sin{x} + C
int tan{x} , dx = ln{left| sec {x} right|} + C
int cot{x} , dx = -ln{left| csc{x} right|} + C
int sec{x} , dx = ln{left| sec{x} + tan{x}right|} + C
int csc{x} , dx = -ln{left| csc{x} + cot{x}right|} + C
int sec^2 x , dx = tan x + C
int csc^2 x , dx = -cot x + C
int sec{x} , tan{x} , dx = sec{x} + C
int csc{x} , cot{x} , dx = - csc{x} + C
int sin^2 x , dx = frac{1}{2}(x - sin x cos x) + C
int cos^2 x , dx = frac{1}{2}(x + sin x cos x) + C
int sec^3 x , dx = frac{1}{2}sec x tan x + frac{1}{2}ln|sec x + tan x| + C
int sin^n x , dx = - frac{sin^{n-1} {x} cos {x}}{n} + frac{n-1}{n} int sin^{n-2}{x} , dx
int cos^n x , dx = frac{cos^{n-1} {x} sin {x}}{n} + frac{n-1}{n} int cos^{n-2}{x} , dx
int arctan{x} , dx = x , arctan{x} - frac{1}{2} ln{left| 1 + x^2right|} + C
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