   Chapter 9.2, Problem 6SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# In Exercises 5-7, evaluate the definite or improper integral. ∫ 1 2 2 − x 2 d x

To determine

To calculate: The value of definite integral 122x2dx.

Explanation

Given Information:

The provided definite integral 122x2dx.

Formula used:

The fraction abc can be also written as,

abc=acbc

Where a,b and c can be any complex values of functions with the condition that c0.

The anti-derivative(integral) of a constant function can be written as,

cdx=cx+c2

where c2=constant

The anti-derivative(integral) of a polynomial function can be written as,

Where n1 and c3=constant a=someconstant.

According to the fundamental theorem of calculus if f(x) is a function that is continuous in [a,b] an f(x) is the anti-derivative or the integral of f(x), then

abf(x)dx=[f(x)]ab=f(b)f(a)

Calculation:

Consider the integral 122x2dx

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