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Find the area of the region between the graph of the function and the x - axis over the given interval.

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Use the limit process to find the area of the region between the graph of the function and the x - axis over the given interval. Sketch the region.

y = - 4x + 5,      [0, 1]
asked Jan 26, 2015 in CALCULUS by anonymous

2 Answers

0 votes

Step 1:

The function is and the interval is .

Area of the function is image.

Definition of integral :

If is integrable on , then ,

Where .

Let number of sub intervals be image

image

Substitute image in .

image.

Step 2:

image

image

Sum of first image natural numbers is image.

image

image

Area of the region is between and image-axis is 3.

answered Jan 26, 2015 by Lucy Mentor
0 votes

Contd...

Step 3:

Graph the function.

image

Area of the region is 3 sq-units.

Solution:

Area of the region is 3 sq-units.

answered Jan 26, 2015 by Lucy Mentor

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