Question #75695

1 Answer
May 30, 2017

#int x sin(x^2+1) dx#

U substitution:
#color(blue)( u=x^2+1 )#
#color(blue)( (du)/dx = 2x )#
#color(blue)( (du)/(2x) = dx )#

#int (x sin color(blue)(u)) (color(blue)(du))/(2x)#

# = int(1/2 sinu)du#

# = -1/2 cos u +C#

# =-1/2 cos(x^2+1) +C#