💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

For each pair of integrals, determine which one is more difficult to evaluate. Explain your reasoning$$\int \sin ^{456} x \cos x d x \text { or } \int \sin ^{2} x \cos ^{2} x d x$$

(1) $\frac{1}{457} \sin ^{457} x+c$(2) $\frac{1}{4}\left(\frac{x}{2}-\frac{1}{8} \sin 4 x\right)+c$

Calculus 1 / AB

Calculus 2 / BC

Chapter 3

Techniques of Integration

Section 2

Trigonometric Integrals

Integration

Integration Techniques

Missouri State University

Baylor University

University of Michigan - Ann Arbor

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:26

For each pair of integrals…

00:57

Integrals of $\sin x$ or c…

01:46

Integrals of $\sin x$ and …

01:15

You are given a pair of in…

01:52

Evaluate the following int…

02:11

01:51

02:15

06:10

Use a table of integrals t…

01:14

Okay, so we have the inner Rose sign the power of 456 ex co sign of next e X and we also have to undergo sine squared X Coast critics the ex were asked and chairman, which one is more difficult to evaluate and explain that reasoning? Well, see, or the 1st 1 we can just pull out one of our actually, we could just use you was able to co sign of I Love go sign Sign of X The X then you is equal to Or do you is equal to co sign of x The X So we have what we want That's it. Ut 0456 in a row to you that's That's you to the 457 But you a sign of X to power 457 over 457 seek. Okay, that one's pretty simple. Let's see about the integral of sine squared X Co sign for ext the ex con Cut. We can use our assigned toward Accent Coast and scored ex identities. That's the people to one minus co sign two x over two and one plus co sign of two ext over to the X and then I can factor out a two are these two. So that's one over four. And then I take the products of these two. Or what I could do instead is that one mine schools into X times one plus goes into accidents one minus co sign squared to X X. Well, based on this information, we can already tell that the seconds what this integral is gonna be a lot more work, kids. But this one, we only needed, like, two steps. But this one already we have three, but we still need more steps to solve it. Okay, listen. To solve this, we have our property for co sign Squared X, which I was in court to x interview of one minus 1/2 but it's one over to sign up for X X. Okay, so that's one over four X money, Mrs 1/2 X over two minus one over eight. Sign of four x plus C as a solution. Yes. So the 1st 1 is a lot easier for the 2nd 1 We needed to use our properties or our identities to translate it. Our science cortex and clothes and Codex. And then we had had to translate it again over here, and it became this and it would take the indigo

View More Answers From This Book

Find Another Textbook

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

For each pair of integrals, determine which one is more difficult to evaluat…

Integrals of $\sin x$ or cos $x$ Evaluate the following integrals.$$\int…

Integrals of $\sin x$ and $\cos x$ Evaluate the following integrals.$$\i…

You are given a pair of integrals. Evaluate the integral that can be worked …

Evaluate the following integrals.$$\int \frac{\sin x}{\cos ^{2} x+\cos x…

Use a table of integrals to evaluate the following indefinite integrals. Som…

Evaluate the following integrals.$$\int \sin ^{2} x \cos ^{2} x d x$$

10:55

A recently reported study looked at the use of oral zinc supplements to get …

01:05

In Exercises $15-18,$ Ind the perimeter of the shaded region. (See Example $…

06:07

Find the general solutions of the systems whose augmented matrices are given…

00:41

Copy and complete the tables for the regular polygons shown. In these tables…

01:19

In Exercises $73-78,$ solve the equation or inequality.$e^{x}<5+\ln x…

01:28

Simplify each expression. Write all answers with only positive exponents. As…

00:14

In the following exercises, convert each decimal to a fraction or mixed numb…

00:25

Graph the function $g(x)=\log (7 x+21)-4$

00:21

NO QUESTION YET

00:34

In Exercises $11-16, \overline{\mathrm{XJ}} \cong \overline{\mathrm{M}}, \ov…

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.