<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[Topics tagged with dividing the interval]]></title><description><![CDATA[A list of topics that have been tagged with dividing the interval]]></description><link>https://community.secnto.com//tags/dividing the interval</link><generator>RSS for Node</generator><lastBuildDate>Mon, 08 Jun 2026 20:48:09 GMT</lastBuildDate><atom:link href="https://community.secnto.com//tags/dividing the interval.rss" rel="self" type="application/rss+xml"/><pubDate>Invalid Date</pubDate><ttl>60</ttl><item><title><![CDATA[In integrating $&#x5C;int_{0}^{&#x5C;frac{2}{2}} &#x5C;cos x d x$ by dividing the interval into four equal parts, width of the interval should be]]></title><description><![CDATA[@zaasmi said in In integrating $\int_{0}^{\frac{2}{2}} \cos x d x$ by dividing the interval into four equal parts, width of the interval should be:

In integrating $\int_{0}^{\frac{2}{2}} \cos x d x$ by dividing the interval into four equal parts, width of the interval should be
Answer
$\frac{\pi}{2}$
$\pi$
$\frac{\pi}{8}$

To determine the width of each interval for the integral \int_{0}^{\frac{\pi}{2}} \cos x , dx  ￼ by dividing the interval into four equal parts, we use the formula:
h = \frac{b - a}{n}
where:
•	a = 0,
•	b = \frac{\pi}{2},
•	n = 4.

Calculating h:
h = \frac{\frac{\pi}{2} - 0}{4} = \frac{\frac{\pi}{2}}{4} = \frac{\pi}{8}
So, the width of the interval should be \frac{\pi}{8} ￼.
Thus, the correct answer is \frac{\pi}{8} ￼.
]]></description><link>https://community.secnto.com//topic/2667/in-integrating-int_-0-frac-2-2-cos-x-d-x-by-dividing-the-interval-into-four-equal-parts-width-of-the-interval-should-be</link><guid isPermaLink="true">https://community.secnto.com//topic/2667/in-integrating-int_-0-frac-2-2-cos-x-d-x-by-dividing-the-interval-into-four-equal-parts-width-of-the-interval-should-be</guid><dc:creator><![CDATA[zaasmi]]></dc:creator><pubDate>Invalid Date</pubDate></item></channel></rss>