The right-hand endpoint of the kth subinterval is denoted x∗k. what is x∗k (in terms of k and n)? x∗k =

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 )? ∗ =

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 = )

= 0 + k .

 =  

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