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

Stuck on your homework problem? This step-by-step video should help.

Try Numerade Free for 30 Days

Like

Report

Integrate each of the functions.$$\int 0.4 \sqrt{\cos \theta} \sin \theta d \theta$$

$-\frac{4}{15}(\cos \theta)^{3 / 2}+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 1

The General Power Formula

Integrals

Missouri State University

Oregon State University

Baylor University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:31

Evaluate the integrals.

05:05

Evaluate the integral.

02:10

Evaluate the following int…

00:39

Evaluate the indefinite in…

01:47

Evaluate the integrals usi…

00:57

01:29

03:17

02:21

02:20

we want to integrate the following expression. The integral of 0.4 square root costa time signed data data. To this question is testing our knowledge of methods of integration uh Saturn have a solid foundational knowledge of integral calculus to proceed. In particular. This question is testing our knowledge of what's known as the power rule for integration. The power rule state for the integral of U. To the N. D. U. Is U. To the N plus one, divided by N plus one plus the constant of integration seat. So if we can identify U. N. N. D. U. And are integral, we can solve by the power rule. Since sign is there a co sign? We can use a rather negative sign. Is a river of coastline. We see that U. Equals cost data. Do you think this negative sign data? The data and and A. Equals one half. Thus noting the shift or rather the difference in 10.4 multiplication really without m equals one half. As well as the missing negative sign we have by the power role that are integral is negative 10.4 times two thirds coastline to three half. Let's see or negative eight third coastline data to the five half plus C. Note that we raised. Note that this should actually be co sign data. The three half as is written in the top line above. The reason for this is that were initially have here cause I dated the one half than for our final exponentially and +13 halfs.

View More Answers From This Book

Find Another Textbook

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 the integrals.$$\int \frac{\cos \sqrt{\theta}}{\sqrt{\theta} \s…

$ \displaystyle \int_0^{\frac{\pi}{4}} \sqrt{…

Evaluate the following integrals.$$\int \cos ^{4} 2 \theta d \theta$$

Evaluate the indefinite integral.$$\int \cos ^{4} \theta \sin \theta d \…

Evaluate the integrals using appropriate substitutions.$$\int \cos 4…

Evaluate the integrals using integration by parts.$$\int \theta \cos…

Evaluate the integrals using integration by parts.$$\int \theta \cos \pi…

Evaluate the integrals.$$\int \frac{\sin \sqrt{\theta}}{\sqrt{\theta \co…

$ \displaystyle \int^{\pi/4}_{0} \frac{1 + \…

Evaluate the integrals.$\int \theta \cos \pi \theta d \theta$

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.