   Chapter 4.3, Problem 83E

Chapter
Section
Textbook Problem

# The following exercises are intended only for those who have already covered Chapter 6.Evaluate the integral. ∫ − 1 1 e u + 1   d u

To determine

To evaluate:

-11eu+1 du

Explanation

1)  Concept:

The Fundamental Theorem of Calculus: Suppose f is continuous on [a, b], then

abfxdx=Fb-F(a), where F is antiderivative of f, that is F'=f.

2) Formulae:

i) am+n=aman

ii) Anti derivative of eu is itself

3) Calculations:

Consider,

-11eu+1 du

By applying formula(i), the above integral becomes

-11eu+1 du=-11eu

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