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Generally.
Area = the definite integration from a to b [ f(x) - g(X)]dx
Say you have two functions( y = e^x and y = x) and you want to find the area between them on an interval ( say 1 to 3 ) So you set the top function(e^x) subtracting the bottom function(x) and integrate them, Insert the values, b - a in the integrated functions and get the value of the area.
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How is definite integral connected to area under the curve?
If the values of the function are all positive, then the integral IS the area under the curve.
Difference between integral and differential calculus?
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
How do you calculate the length of the curve using calculus?
Do a line integral.
Application of definite integral in real life?
Finding the area under a curve or the length of a line segment. These are real life uses, not just fun in your math class.
How do you calculate the distance in the s-t graph?
The distance covered between two points in time is the area under the graph between the two points.
What percentage of light energy absorbed does this peak represent?
The peak's area under the curve represents the percentage of light energy absorbed. To calculate the percentage, divide the peak's area by the total area under the curve and multiply by 100.
Applications of integral calculus?
Integration can be used to calculate the area under a curve and the volume of solids of revolution.
Find position given velocity vs time graph?
To find the position from a velocity-vs-time graph, you need to calculate the area under the velocity curve. If the velocity is constant, the position can be found by multiplying the velocity by the time. If the velocity is changing, you need to calculate the area under the curve using calculus to determine the position.
He area under the standard normal curve is?
The area under the standard normal curve is 1.
What I helps you to find the area under the curve?
If this is on mymaths.co.uk then the answer to this question is: Integration. That is how to find the area under the curve.
The area under the normal curve is greatest in which scenario?
The area under the normal curve is ALWAYS 1.
How do you calculate area under the hydrograph curve without integrating?
Basically this isn't possible. Whenever you have an irregular curve, you need some kind of integration technique to get the area, or an estimate of the area. This can be quite simple, at least in principle: just approximate the area by narrow rectangles, calculate the area of each rectangle, and add everything up.
How is definite integral connected to area under the curve?
If the values of the function are all positive, then the integral IS the area under the curve.
What is the area under the curve for the histogram below?
There is no histogram below.However, the area under the curve for any histogram is the total frequency.
What is the area under the standard normal curve?
the standard normal curve 2
What wii be the area under the curve of a force - displacement curve?
WORK
What can a velocity-time curve be used to calculate?
if its a mathematical curve, say v=10t - t^2 (from t = 1 to 5), using calculus, you can calculate instant acceleration (slope of the tangent of the curve at any point) by differentiation, or distance travelled over a time interval (area under graph) by integration. if its say data driven, you can approximate slope and area
