5. By finding an antiderivative, calculate each integral. (5 pts each) a. So 3x2 dx b. fox' dx (Hint: What would it be if you were asked for f,...

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 3x2 dxb.fox' dx (Hint: What would it be if you were asked for f," 8x7 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.