write my assignment 1287

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.