三角函数定积分常用特殊公式:∫ cos x dx = sin x + C;∫tan x dx = ln |sec x | + C;∫cot x dx = ln |sin x | + C;∫sec x dx = ln |sec x + tan x | + C。
三角函数定积分常用特殊公式:
∫sin x dx = -cos x + C;
∫csc x dx = ln |csc x – cot x | + C;
∫sin ²x dx =1/2x -1/4 sin 2x + C;
∫ cos ²x dx = 1/2+1/4 sin 2x + C;
∫ tan²x dx =tanx -x+ C;
∫ cot ²x dx =-cot x-x+ C;
∫ sec ²x dx =tanx + C;
∫ csc ²x dx =-cot x+ C;
∫arcsin x dx = xarcsin x+√(1-x²)+C;
∫arccosx dx = xarccos x-√(1-x²)+C;
∫arctan x dx = xarctan x-1/2ln(1+x²)+C;
∫arc cot x dx =xarccot x+1/2ln(1+x²)+C;
∫arcsec xdx =xarcsec x-ln│x+√(x²-1)│+C;
∫arccsc x dx =xarccsc x+ln│x+√(x²-1)│+C