Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Integrate each of the given functions.$$\int \frac{\sin (1 / x)}{2 x^{2}} d x$$

$\frac{1}{2} \cos \left(\frac{1}{x}\right)+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 4

Basic Trigonometric Forms

Integrals

Missouri State University

Oregon State University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:25

Find each integral.$$\…

01:35

Evaluate the following int…

01:57

Make the given substitutio…

00:54

01:30

$$\text { Integration by p…

01:06

Evaluate the indefinite in…

00:37

00:39

00:33

All right. We want to integrate the following integral. That is the indefinite integral of sine of one over X. D X divided by two X square. This question is testing our knowledge of methods of integration. We've previously learned about the power rule for integration, the log rule and the exponential role in this problem. We're being challenged to use trigger metric integral. So there are 10 million metric integral. To identify which one we need to use. We need to identify which triggered metric function. President are integral matches with one of those one through 10. So we see that are integral has signed. Therefore we're gonna use integral one which has solution negative coast you plus C. Therefore to use one effectively we have to identify you do you so you as one over X. The argument sign. Do you then is negative one over X squared dx. So are integral has an extra factor of negative two that we carry over to our final solution. So carrying over the negative to and including negative coast plus the other solution, we have our integral equal to four. Co sign one over X plus C.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Find each integral.$$\int x \sin x^{2} d x$$

Evaluate the following integrals.$$\int \frac{\sin ^{-1} x}{x^{2}} d x$$…

Make the given substitutions to evaluate the indefinite integrals.$$\int…

Find each integral.$$\int 2 x \cos x^{2} d x$$

$$\text { Integration by parts Evaluate the following integrals.}$$$$\in…

Evaluate the indefinite integral.$\int \frac{\sin 2 x}{1+\cos ^{2} x} d …

Evaluate the indefinite integral.$$\int \frac{\sin 2 x}{1+\cos ^{2} x} d…

Evaluate the indefinite integral.$\int x \sin \left(x^{2}\right) d x$

Evaluate the indefinite integral.$$\int x \sin \left(x^{2}\right) d x$$<…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.