- Books Name
- Mathmatics Book Based on NCERT
- Publication
- KRISHNA PUBLICATIONS
- Course
- CBSE Class 12
- Subject
- Mathmatics
Fundamental Theorem of Calculus
Fundamental theorem of calculus contains two important theorems namely:
First fundamental theorem of integral calculus
Let f be a continuous function on the closed interval [a, b] and let A (x) be the area function. Then A′(x) = f (x), for all x ∈ [a, b].
Second fundamental theorem of integral calculus
Let f be a continuous function defined on the closed interval [a, b] and F be an antiderivative of f.
Then ∫ab f(x) dx= [F(x)]ab = F(b) – F(a)