   Chapter 4.4, Problem 73E

Chapter
Section
Textbook Problem

# The following exercises are intended only for those who have already covered Chapter 6.Evaluate the integral. ∫ 0 1 / 3 t 2 − 1 t 4 − 1 d t

To determine

To evaluate:

The integral 01/3t2-1t4-1 dt

Explanation

1) Concept:

i) Indefinite Integral

1x2+a2dx=1atan-1xa+c

ii) The fundamental theorem of calculus part 2

If f is continuous on a,b, then

abfxdx=Fb-F(a)

where F is any antiderivative of f, that is, the function F such that F'=f.

2) Given:

01/3t2-1t4-1 dt

3) Calculation:

013t2-1t4-1 dt

Factoring t4-1=(t2-1)(t2+1)

=01/

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