1 / | | x*sin(n*x)*1 dx | / 0
Integral(x*sin(n*x)*1, (x, 0, 1))
// 0 for n = 0\ || | / || //sin(n*x) \ | // 0 for n = 0\ | || ||-------- for n != 0| | || | | x*sin(n*x)*1 dx = C - |<-|< n | | + x*|<-cos(n*x) | | || || | | ||---------- otherwise| / || \\ x otherwise / | \\ n / ||------------------------- otherwise| \\ n /
/sin(n) cos(n) |------ - ------ for And(n > -oo, n < oo, n != 0) | 2 n < n | | 0 otherwise \
=
/sin(n) cos(n) |------ - ------ for And(n > -oo, n < oo, n != 0) | 2 n < n | | 0 otherwise \
Use the examples entering the upper and lower limits of integration.