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Mathematics
Calculus
The total area between 3sin(5x) and the x-axis
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[QUOTE="Mark44, post: 5494965, member: 147785"] Yes, but to get the area, you need to account for parts of the curve that are below the x-axis. For example, on the interval ##[\pi/5, 2\pi/5]## the graph of this function is below the x-axis. On intervals such as this one, the integral gives a negative value. To to get the area between the curve and the x-axis, you would need an integral like this: ##\int_{\pi/5}^{2\pi/5}-3\sin(5x)dx## This won't necessarily give the area. For example, ##\int_0^{2\pi/5}3\sin(5x)dx## evaluates to 0, but the area between the curve and the x-axis is 12/5. [/QUOTE]
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Forums
Mathematics
Calculus
The total area between 3sin(5x) and the x-axis
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