5) By finding an antiderivative, calculate each integral.
6) calculate using each of the following methods and reconcile your answer.
5.By finding an antiderivative, calculate each integral.(5 pts each)a.So 3×2 dxb.fox’ dx (Hint: What would it be if you were asked for f," 8×7 dx?)C.sin x dx6.Calculate f_. | x + 2| dx using each of the following methods, and reconcile youranswers:(10 pts each)a.Sketch the graph of y = |x + 2| and sum up two triangular areas.b.(x+2 ifx 2 3}Write |x + 2| =1x _2 ifx < -and use antiderivatives as appropriateto find the integral. You’ll need two antiderivatives and two integrals to do thisproblem.