ight endpoint of each subinterval.In terms of n, C¡ =Part 4:f(c.) =OPart 5:Putting it all together, write the limit to be calculated (don't calculate it yet).2a dæ = lim :n00i=1Part 6:Use the properties and formulas of summation to rewrite your previous expression without using Sigma notation. (Don't calculate the limit yet!)2x dx = limn00Part 7:Now, calculate the limit.2x dx = Evaluate the definite integral2x dx as a limit.Part 1:We know that, by definition,nf(x)dxlim f(ci)(Ax;).||Ar||→CFor this problem, a = 0Part 2:Define Ax by by subdividing [0, 2] into n equal subintervals.Thus, in terms of n, Ax =Part 3:Choose c; as the right endpoint of each subinterval.In terms ofn, ci =Part 4:f(ci) =MacBook Air

Answered: Image /qna-images/answer/182fa43c-e8a1-45d1-abb1-fcd266d0b126.jpg

Evaluate the definite integral 2x dx as a limit. Part 1: We know that, by definition, b f(x)dx lim f(ci)(A¤;). ||Az||¬C i=1 For this problem, a = 0 Part 2: Define Ax by by subdividing [0, 2] into n equal subintervals. Thus, in terms of n, Ax = Part 3: Choose c; as the right endpoint of each subinterval. In terms of n, c; = Part 4: f(c:) = MacBook Air