An integral in mathematics is either a numerical value equal to the area under the graph of a function for some interval or a new function, the derivative of which is the original function.
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Integration:
The most important application of integral calculus is to compute the area or volume of a shape. In integral calculus, we encounter different concepts such as the area of various geometric shapes, the area under the curve by using the definite integral, the indefinite integral and various practical applications.
Real-life Application of Integration
Integrations are a great help in calculating volume.
Wait, hold on. Calculating volume? We know, you studied this in Science class. But what you don’t know is that there are more factors to this than meets the eye. There’s the area, the depth, the position, time and rate. All of these factors contribute to how can someone fill a swimming pool, when can someone fill a swimming pool, and what the swimming pool in a physical sense, all of which are affected by the values mentioned. Tricky, right? Studying Integration is the key to opening the door in solving these types of problems.
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Integrals
Definite Integral of a Function Using the Fundamental Theorem of Calculus
Definite Integral of a Function Using the Substitution Rule
Area of a Plane Region Using the Definite Integrals
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