Find R4 and L4 ( areas)

Question

Find R₄ and L₃ . f(x)=sqrt(x) [1,2]

Answer 1

Question (too terse) probably means find APPROXIMATIONS to area under curve f(x) using 4 rectangles, using left-side rectangle heights (L4) and right-side rectangle heights (R4).

 

Two different calculation tasks.

 

For L4, the f(x) values are

f(1.00) = 1.000000

f(1.25) = 1.118034

f(1.5) = 1.2247449

f(1.75) = 1.322876 

 

Now, add up those four values and multiply by 0.25 (which is the Δx value), giving you a numerical approximation of the desired area under the curve.

 

I'll leave the R4 job to you.