1)\ Co\ znamená\ \int_{0}^{2\pi}{ sin\ x\ dx\ ?} 

2)\ Jaký\ je\ obsah\ vyznačené\ plochy\ ?

$ 3)\ Proč \int_{\pi}^{2\pi}{sin\ x\ dx\ =\ 0\ ? } $

f = Function(sin(x), -6.28319, 15.707963267948966)
a = -0.0031853071795859833 (slider from -6.283185307179586 to 9.42477796076938, step 0.01)
b = 6.286814692820414 (slider from -6.283185307179586 to 9.42477796076938, step 0.01)
S = Integral(f, a, b)
text1: "∫_a^b\sin (x)\ dx=" + (LaTeX[S]) + ""