Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Verify that $ f(x) = \sin \sqrt[3]{x} $ is an odd function and use that fact to show that $$ 0 \le \int^3_{-2} \sin \sqrt[3]{x} \, dx \le 1 $$

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

04:18

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 5

The Substitution Rule

Integration

Missouri State University

Campbell University

Harvey Mudd College

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

00:48

Verify that $f(x)=\sin \sq…

02:41

Use substitution to prove …

01:22

Show that

01:24

Evaluate the integral.

01:09

If $ f $ is continuous on …

05:00

(a) Let$$I=\int_{0}^{a…

01:38

Calculate $\int_{0}^{2 \pi…

00:53

Make the indicated substit…

we know that we can use the metric functions as a shortcut to figure out the integral. Which means we can see if we can prove if this function is odd or even. Okay. What this means is that where we have positive acts, we're now gonna plug in negative acts, and then we're gonna simplify. As you can see, we can see we end up with negative aftereffects, Which means that half of axe is indeed an odd function. Therefore, we know there's a property that from negative, eh? Awful vax D X is equivalent to zero. Therefore, we know that without even doing any mathematical calculations, we know the solution to this is going to be zero, and this is the proof that we can drive.

View More Answers From This Book

Find Another Textbook

03:42

QuestionUse the LOGISTIC regression option to find a logistic growth mod…

02:26

1. Solve for the missing variables, given that the 2 polygons are similar.

03:22

Find the total resultant force acting 2 points vertically in the given figur…

03:09

Find the value of X _ Round your answer to the nearest tenth

05:45

point) Suppose that you are climbing hill whose shape is given by =1400 0.09…

01:15

I @RSTis a kite . find mZQRS:R (Tr _612 708,50( I4}

01:17

If ABCD is dilated by a factor of 3, the coordinate of A' would be:…

04:17

Find the amplitude, period, and phase shift Of Ihe function. Graph the funct…

03:19

12. If an investment is made of a principal (initial amount) P, at an annual…

population Density #ZA scientist is trying to approximate the population…