# the sine integral function. ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 5.4, Problem 28E
To determine

## To find: the sine integral function.

Expert Solution

x3-6x+6=0

### Explanation of Solution

Given information: si(x)=0xsinttdt

integrating by parts, we get

si(x)=[(1tcost-sin2tt)1+2costt]0xsi(x)=1xcosx+sin2xx2si(x)=sin2xx21xcosx

1. The graph of SI is same as sinx .
2. A function has maxima or minima where they beach maximum or minimum value.
3. A point of a curve at which a change in the direction of curvature occur.
4. Horizantal asymptotes are horizantal line the graph if the degree of the denominator is bigger then degree of (c)

0xsintt=1x-x32·3=1x-x36=1x3-6x+6=0

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