Question

find the area of the region bounded by the curve y=x+1 and the lines x=2 and x=3

Answer 1

Answer:

2=3+1 but I cannot understand your question

Step-by-step explanation:

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Answer 2

Answer:

The area of the region bounded by the curve y=x+1 and the lines x=2 and x=3 is 3.5 square units.

Step-by-step explanation:

To get the area of the region bounded by the curve, we need to integrate the equation y = x + 1 between x = 2 and x = 3

We write this as follows:

₂∫³x + 1

Integrating the equation we get:

1/2x² + x

Now with the boundaries we have:

1/2x² + x |³₂

Substituting the values of x we get:

[0.5 × 3² + 3] - [0.5 × 2² + 2]

= 7.5 - 4 = 3.5

The area of the region bound by the curve is 3.5 square units.