問題一覧
1
sin(a-b)
sin(a)cos(b)-cos(a)sin(b)
2
cos(a+b)
cos(a)cos(b)-sin(a)sin(b)
3
cos(a-b)
cos(a)cos(b)+sin(a)sin(b)
4
sin(a+b)
sin(a)cos(b)+cos(a)sin(b)
5
sin⁻¹(0)
0
6
sin⁻¹(1)
pi/2
7
cos⁻¹(0)
pi/2
8
tan⁻¹(0)
0
9
tan⁻¹(1)
pi/4
10
∫ sin(x) dx
-cos(x)+c
11
∫ cos(x) dx
sin(x)+c
12
sin(x)的微分
cos(x)
13
cos(x)的微分
-sin(x)
14
∫sinh(x)dx
cosh(x)+c
15
∫ cosh(x)dx
sinh(x)+c
16
tan(x)的微分
sec(x)^2
17
∫ cos(x)e^x dx
cos(x)e^x+sin(x)e^x/2+c
18
∫ sin(x)e^x dx
sin(x)e^x-cos(x)e^x/2+c
19
∫ 1/√a²-x² dx
arcsin(x/a)+c
20
∫ -1/√a²-x² dx
arccos(x/a)+c
21
∫ 1/√x²+a² dx
arcsinh(x/a)+c
22
∫ 1/√x²-a² dx
arccosh(x/a)+c
23
cos⁻¹(1)
0