3]Theorems of Integral Calculus – Calculus – Engineering Mathematics

In this video tutorial, next concept Theorem of Integral Calculus will be explained.

Theorem of Integral Calculus will be explained links differentiation and integration. Check out the first video of this playlist for detailed description on differentiation and integration Integration is reverse of differentiation.

Example is explained based on integration. Integration of 3×2.

Constant of Integration:
It is used to differentiate whether constant is present or not. This concept is explained using example.

Integration is anti-derivative.

Theorem of Integral Calculus says if function (x) is continuous on [a,b] then function defined by F(t) equal to integration x to a f(t) dt is continuous on [a,b] and differentiable on (a,b) and F’(x) = f(x)

This theorem simply means that if we integrate any function f(x) and then find the derivative, the original function f(x) will be obtained. This theorem applies for indefinite integral. This in one part or section of Theorem of Integral Calculus. Second part will be covered in the next video that will give the relation between definite integral and indefinite integral.

Check out the video tutorial for more better explanation.

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