Pattern – 1 : Definite integration never contains any arbitrary constant. i.e. If
⋆ Pattern – 36
Proof :
Here,
⋆ Pattern – 35
Pattern – 34 :
Pattern- 33
Pattern – 32
then
Pattern – 31 :
If (x) and (x) are integrable on the interval [a, b], then prove tha…
⋆ Pattern – 30 :
If m is the least value (global minimum) and M is greatest value (global maximum) of f(x) for ∀ x ∈ [a, b]
i.e. m ≤ f(x) ≤ M ; x [a, b],
then prove that
m (b – a) ≤
⋆ Pattern – 29
f is continuous on [a, b] and | f(x) | ≤ k, ∀ x ∈ [a, b], then ≤ k (b-a…
⋆ Pattern – 28
f is continuous on [a, b], then \left|
