   Chapter 13, Problem 5RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Use a definite integral to find the area under the graph of y = 3 x 2 from x = 0  to  x =1 .

To determine

To calculate: The area under the graph of y=3x2 from x=0 to x=1 using the definite integral method.

Explanation

Given Information:

The provided function is y=3x2 from x=0 to x=1.

Formula Used:

The sum of n numbers x1, x2, x3,,xn is given by

k=1nxk=x1+x2++xn

The area is given as:

Area=abf(x)=F(b)F(a)

Calculation:

The provided function is y=3x2 from x=0 to x=1,

The area obtained is as follows:

Write the expression in the form of limits:

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