In section 5.5, I discussed using the substitution rule to integrate functions that do not have elementary antiderivatives. For examples If we were given the following integral and we wanted to find the antiderivative, then this is how to use u-substitution: Sevda you can see that the integrand f(x)= does not have an elementary antiderivative, and also we can not simplify the expression Thus we have to use u-sub. Since the exponential function e is composed with the √, then we suggest that u = √ã >>>> u = x² >>> du = x=¹dx >>> 2du = x¯¹ dx >>>> 2du = dx Now plug everything back into the given integral to convert it into a simpler integral that is in terms of u s dx = S. ev. dx = fev.da = 2 fe" du = 2e" >>>> F(x) = 2e√² + C 1. Calculate the integral using U- Substitution. Show your step-by-step f cos x. √1 + sin x. dx work