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

Watch this step-by-step video, matched to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Integrate each of the given functions.$$\int_{\pi / 6}^{\pi / 4} \cot ^{5} p d p$$

$\ln |x|-\frac{2}{x}+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 5

Other Trigonometric Forms

Integrals

Missouri State University

Oregon State University

University of Michigan - Ann Arbor

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:27

Evaluate each definite int…

01:12

00:57

Use substitution to find e…

02:41

03:20

Evaluate the integrals usi…

06:49

07:15

Evaluate the integral.

04:14

Evaluate the integral.…

12:20

Evaluate the integrals…

00:31

all right. Here we have the definite integral zero point five one, And then we have Pippin cubed minus E to the four Ping thing. Okay, crying. So start by taking that derivative of the in a grand function. So we have P to the fourth over for minus need to the four p over for easy to verify that stand out derivative. And then we evaluate this function from story point five toe. Okay. And again, we can just evaluate each one of the terms involved in P dysfunction with P at the end points the at the limits of integration. And so we have one fourth, uh, one two the fourth minus zero point five to the fourth and then minus one fourth. He too. The four times one minus e to the four times point five, which is two. Okay. And so that looks good. All right. And so this is one fourth and then one minus zero point five to the fourth is Well, I guess so. That's just one half to the fourth, which is one over to the fore, which is one over, uh, sixteen. So this is just one over sixteen. So this is sixteen over sixteen. So this is just fifteen over sixteen and then minus this guy. Well, you can keep going. And But at some point, you know, if you just want a new miracle answer, you might play with the calculator and you'LL get negative. Eleven point five ship.

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…

Evaluate each definite integral.$$\int_{0.5}^{1}\left(p^{3}-e^{4 p}\righ…

Use substitution to find each indefinite integral.$$\int p(p+1)^{5} d p$…

Use substitution to find each indefinite integral.$$\int p(p+2)^{6} d p$…

Evaluate the integrals using integration by parts.$$\int p^{4} e^{-p…

Evaluate the integrals using integration by parts.$$\int p^{4} e^{-p} d …

$ \displaystyle \int_{\frac{\pi}{4}}^{\frac{\…

Evaluate the integral.$\int_{\pi / 4}^{\pi / 2} \cot ^{5} \phi \csc ^{3}…

Evaluate the integrals$$\int_{5 \pi / 6}^{\pi} \frac{\cos ^{4} x}{\sqrt{…

Evaluate each definite integral.$$\int_{-2}^{4}(-3) d p$$

03:21

Give the proper trigonometric substitution and find the transformed integral…

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.