First fundamental theorem of Integral Calculus, Second fundamental theorem of Integral Calculus

**The fundamental theorems of Integral Calculus**

If *f* (*x*) is a continuous function and *F* ( *x*) = ∫^{x}_{a} *f* (*t*)*dt*,
then *F* ′ ( *x*) = *f* (*x*).

Let *f* (*x*) be a continuous function on [a,b], if F ( *x*) is anti derivative of *f*
(*x*) , then

∫^{b}_{a} *f *(*x*)*dx *=* F *(*b*)* *−* F *(*a*).

Here *a* and *b* are known as the lower limit and upper
limit of the definite integral.

Tags : Definite integrals , 12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I

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12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I : The fundamental theorems of Integral Calculus | Definite integrals

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