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Application of definite Integral in the real life?
Application of definitApplication of definite Integral in the real life
What is the indefinite integral?
An indefinite integral is a version of an integral that, unlike a definite integral, returns an expression instead of a number. The general form of a definite integral is: ∫ba f(x) dx. The general form of an indefinite integral is: ∫ f(x) dx. An example of a definite integral is: ∫20 x2 dx. An example of an indefinite integral is: ∫ x2 dx In the definite case, the answer is 23/3 - 03/3 = 8/3. In the indefinite case, the answer is x3/3 + C, where C is an arbitrary constant.
Geometrically the definite integral gives the area under the curve of the integrand Explain the corresponding interpretation for a line integral?
gemetrically the definite integral gives the area under the curve of the integrand. explain the corresponding interpretation for a line integral.
What is the difference between definite integral and line integral?
Both kinds of integrals are essentially calculations of areas under curves. In a definite integral the surface whose area is to be calculated is planar. In a line integral the surface whose area to be calculated might occupy two or more dimensions. You might be interested in the animated diagrams in the wikipedia article for the line integral.
What is trapizoidal rule?
It is a way to approximate a definite integral using trapezoids.
