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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.
