Estimate the area under the graph of `y=sqrt(x)+2` between `x=0` to `x=4` using each finite approximation below.

(a) A lower sum with two rectangles of equal width.
(b) A lower sum with four rectangles of equal width.
(c) An upper sum with two rectangles of equal width.
(d) An upper sum with four rectangles of equal width.

Round your answers to two decimal places if needed.

The estimated area using a lower sum with two rectangles of equal width is   square units.

The estimated area using a lower sum with four rectangles of equal width is   square units.

The estimated area using an upper sum with two rectangles of equal width is   square units.

The estimated area using a upper sum with four rectangles of equal width is   square units.

Hint

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Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity

Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity

Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity

Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity