Integrate the following functions. ∫√sin2xcos2xdx.
∫√sin2x cos2x dx Let sin2x=t⇒2cos2x=dtdx⇒dx=dt2cos2x ∴∫√sin2x cos2xdx=∫√t cos2xdt2 cos2x=12∫√tdt=12t12+1(12+1)+C=13t32+C=13(sin2x)32+C
Find the integrals of the functions. ∫sin3x+cos3xsin2x cos2xdx.
Integrate the following functions. ∫√ax+b dx.
Integrate the following functions. ∫xex2dx.