8 3  Second fundamental theorem of integral calculus
We state below an important theorem which enables us to evaluate definite integrals
by making use of anti derivative Theorem 2 Let f  be continuous function defined on the closed interval [a, b] and F be
an anti derivative of f Then ∫
( )
b
a f x dx = [F( )] =
ab
x
 F (b) – F(a)