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Find the area of the region. Use a graphing utility to verify your result.

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Find the area of the region. Use a graphing utility to verify your result.

asked Jan 27, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1 :

The area of the region bounded by the graph of is .

.

Let , then and .

Evaluate the boundaries :

If image, then image.

If image, then image.

Apply integral substitution.

Power rule of integration : .

image

The area is 43.178 square units.

Step 2 :

Plot a graph for the function .

image

Graphically the value is 43.178.

Solution :

The area of the region is 43.178 square units.

answered Jan 28, 2015 by lilly Expert

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