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(Solved): (A) Estimate the area under the graph of \[ f(x)=3 x^{3}+4 \] from \( x=-1 \) to \( x=5 \) ...
![(A) Estimate the area under the graph of
\[
f(x)=3 x^{3}+4
\]
from \( x=-1 \) to \( x=5 \), first using 6 approximating recta](https://media.cheggcdn.com/study/aa3/aa37a7c5-080f-44d1-80ff-d9d8298979db/image.jpg)
(A) Estimate the area under the graph of \[ f(x)=3 x^{3}+4 \] from \( x=-1 \) to \( x=5 \), first using 6 approximating rectangles and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints. 6 Rectangles \( = \) 12 Rectangles \( = \) (B) Repeat part (A) using left endpoints. 6 Rectangles \( = \) 12 Rectangles \( = \) (C) Repeat part (A) using midpoints. 6 Rectangles \( = \) 12 Rectangles \( = \)
Expert Answer
Solution: Function given as f(x)=3x3+4 where a = -1 and b = 5 and number of rectangle is 6 For 6 Rectangles ?x=b?an=5+16=1 Grid point x0=?1,x1=0,x2=1,