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whatdofisheat
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to take the area under a graph of
(1+2^x) from 0 to 30 how can you do this and what is the answer
(1+2^x) from 0 to 30 how can you do this and what is the answer
True indeed, but how does that apply here? 1+2x > 0 for all real x, so [itex]\int\limits_0^{30} {\left( {1 + 2x} \right)dx}[/itex] is (represents) indeed, as asked by the OP, the area under the curve y=1+2x (additionally bounded by y=0, x=0, and x=30).quasar987 said:The term "area under the curve" can lead to confusion, because in the intervals where the function is negative, the integral actually gives the negative of the area not under but above the curve.
Hint:whatdofisheat said:to take the area under a graph of
(1+2^x) from 0 to 30 how can you do this and what is the answer
I don't have a "physically remove" button anywhere!HallsofIvy said:bomba923, when you delete a message do you have a "Physically remove" button below "Delete" and "Do Not Delete"? If so, clicking on that will not leave the "debris" behind that just using "Delete" does!
The purpose of calculating the area under the graph is to determine the total area between the curve and the x-axis within the given interval. This can provide insights into the behavior and patterns of the function (1+2^x) within that interval.
The area under the graph can be calculated using integral calculus. Specifically, the definite integral of (1+2^x) from 0 to 30 can be evaluated to find the total area under the curve within that interval.
The result of calculating the area under the graph can provide information such as the total change in the function (1+2^x) within the given interval, the average value of the function within that interval, and the behavior of the function in relation to the x-axis.
One limitation is that the calculation assumes the function (1+2^x) is continuous and well-behaved within the given interval. Additionally, the accuracy of the calculation may be affected by the method used to evaluate the integral.
The calculation of the area under the graph can be applied in various fields such as physics, economics, and engineering. For example, it can be used to calculate the work done by a varying force over a distance or the total revenue generated by a product over a specific time period.