三角函数积分公式大全

问题描述:

三角函数积分公式大全

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ò sin x dx = -cos x + C
ò cos x dx = sin x + C
ò tan x dx = ln |sec x | + C
ò cot x dx = ln |sin x | + C
ò sec x dx = ln |sec x + tan x | + C
ò csc x dx = ln |csc x – cot x | + C

ò sin ²x dx =1/2x -1/4 sin 2x + C
ò cos ²x dx = 1/2+1/4 sin 2x + C
ò tan²x dx =tanx -x+ C
ò cot ²x dx =-cot x-x+ C
ò sec ²x dx =tanx + C
ò csc ²x dx =-cot x+ C

ò arcsin x dx = xarcsin x+√(1-x²)+C
ò arccosx dx = xarccos x-√(1-x²)+C
ò arctan x dx =xarctan x-1/2ln(1+x²)+C
ò arc cot x dx =xarccot x+1/2ln(1+x²)+C
ò arcsec xdx =xarcsec x-ln│x+√(x²-1)│+C
ò arccsc x dx =xarccsc x+ln│x+√(x²-1)│+C