Integral of xcos²(3x) dx
The solution
The answer (Indefinite)
[src]
/
| 2 2 2 2 2
| 2 sin (3*x) x *cos (3*x) x *sin (3*x) x*cos(3*x)*sin(3*x)
| x*cos (3*x) dx = C - --------- + ------------ + ------------ + -------------------
| 36 4 4 6
/
∫xcos2(3x)dx=C+4x2sin2(3x)+4x2cos2(3x)+6xsin(3x)cos(3x)−36sin2(3x)
The graph
−361+16π2
=
−361+16π2
Use the examples entering the upper and lower limits of integration.