# How do you find the area under one period of y=sinx?

See explanation.

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To find the area under one period of the function ( y = \sin(x) ), you integrate ( \sin(x) ) over one period, which is typically from ( x = 0 ) to ( x = 2\pi ). The integral of ( \sin(x) ) over this interval is ( 2 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- The region under the curves #y=3/4x, y=1-x, y=x-1/x# is rotated about a) the x axis and b) the y axis. How do you sketch the region and find the volumes of the two solids of revolution?

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