Question

Find an approximation of the area of the region R under the graph of the function f on the interval [0, 3]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. (Round your answer to one decimal place.)

f(x) = 4ex

Answer 1

Lee f(x1= 4er , [0, 3], [mes) Midpoint vale Ms = 5 fcrde = 4MC f@hotx)) + f(***) +- f( Pure th d ) + f(chartet *)) ta2 da = 4u anz tan-I latan ada ! 2- [40=2 // Į susinter vels of lengts 4= 3% a= [0,1],[] 13], , 1), 63]=6 f (mothy) = f ((o)t()) = f(22) = 4 ) _ S0399435 f ( mit her) = f())= 495) 48 - 9.838412 f (*124*) = f (69)+7)) = f(3) = 48X) = 17.926156 f(**24) = f(0)+(6)) = f(74)=40*)_ 32 664679 * (** *) f(*)t3) f(2)= 4&"= 59.51826 CScanned with more contese asove values Multiply by 4x = 345 Sum up CSScanned with CamScanner Save

Ms=14ê dy 19435+ 9.8384124 17.926756+ 320664679 +59.5189268] 75.20892630 My = het dy Z 75.20892630 i Midpoint CScanned With CamScanner