the area of the region bounded by x-axis,y=ex,x=0,x=1 is
Question
the area of the region bounded by x-axis,y=ex,x=0,x=1 is
Solution
The area of the region bounded by the x-axis, y=e^x, x=0, and x=1 can be found by integrating the function y=e^x from x=0 to x=1.
Here are the steps:
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Set up the integral: ∫ from 0 to 1 e^x dx.
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Evaluate the integral: [e^x] from 0 to 1.
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Substitute the limits of integration: e^1 - e^0.
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Simplify the expression: e - 1.
So, the area of the region bounded by the x-axis, y=e^x, x=0, and x=1 is e - 1 square units.
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