In this problem you will calculate ∫302+4 by using the formal definition of the definite integral: ∫()=lim→∞[∑=1(∗)Δ]. 
(a) The interval [0,3] is divided into equal subintervals of length Δ. What is Δ (in terms of )? Δ = 
(b) The right-hand endpoint of the th subinterval is denoted ∗. What is ∗ (in terms of and )? ∗ =
Answer:
a) Δ= 
b) 
Step-by-step explanation:
a)  If the interval [0,3] , i.e let a = 0 , b =3 and n=n.
So [0,3] divide into n equal subintervals;
Therefore, the length Δ= 
Δ= 
Δ= 
b) To calculate  ;
;
 = a + k . Δ          (where n= 0, Δ =
 = a + k . Δ          (where n= 0, Δ =  )
)
= 0 + k . 
 =
  =  