Evaluate the following integral
∫(x+1)2x+x2 dx\displaystyle\int (x + 1) \sqrt{2x + x^2} \ dx∫(x+1)2x+x2 dx
∫cos4(x)sin(x) dx\displaystyle\int\cos^4(x)\sin(x) \ dx∫cos4(x)sin(x) dx
∫sin(ln(x))x dx\displaystyle\int\frac{\sin (\ln (x))}{x} \ dx∫xsin(ln(x)) dx
∫x3sin(x4+2) dx\displaystyle\int x^3 \sin (x^4 + 2) \ dx∫x3sin(x4+2) dx
Find ∫sin(x)sin(cosx) dx\displaystyle\int\sin(x)\sin(\cos{x}) \ dx∫sin(x)sin(cosx) dx