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The fundamental theorems of Integral Calculus
If f (x) is a continuous function and F ( x) = ∫xa 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
∫ba f (x)dx = F (b) − F (a).
Here a and b are known as the lower limit and upper limit of the definite integral.
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