How do you use Integration by Substitution to find #inte^x*cos(e^x)dx#?
1 Answer
Jul 28, 2014
#sin(e^x)+c# , where c is a constantExplanation,
Integration by Substitution,
#inte^x*cos(e^x)dx# let's assume
#e^x=t# then,
#e^x*dx=dt#
#intcos(t)dt#
#sin(t)+c# , where c is a constantSubstituting
#t=e^x# , we finally get
#sin(e^x)+c# , where c is a constant
