Worksheet for Section 5.5Integration by SubstitutionV63.0121, Calculus ISpring 2010Find the following integrals.In the case of an indefinite integral, your answer should be themost general antiderivative. In the case of a definite integral, your answer should be a number.In these problems, a substitution is given.1.Z(3x-5)17dx,u= 3x-52.Z40xpx2+ 9dx,u=x2+ 93.Ze√x√xdx,u=√x.4.Zcos 3x dx5 + 2 sin 3x,u= 5 + 2 sin 3xIn these problems, you need to determine the substitution yourself.5.Z(4-3x)7dx.6.Zπ/3π/4csc2(5x)dx7.Zx2e3x3-1