三角函数积分公式大全
来源:学生作业帮 编辑:搜搜考试网作业帮 分类:数学作业 时间:2024/07/30 21:06:55
三角函数积分公式大全
![三角函数积分公式大全](/uploads/image/z/19147640-32-0.jpg?t=%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E7%A7%AF%E5%88%86%E5%85%AC%E5%BC%8F%E5%A4%A7%E5%85%A8)
∫sin x dx = -cos x + C
∫ 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
∫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
∫ 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
∫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