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Problem

Find the general indefinite integral. $ \disp…

01:43

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Problem 8 Easy Difficulty

Find the general indefinite integral.

$ \displaystyle \int (u^6 - 2u^5 - u^3 + \frac{2}{7}) \, du $


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00:45

Frank Lin

00:36

Amrita Bhasin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 4

Indefinite Integrals and the Net Change Theorem

Related Topics

Integrals

Integration

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Kiana B.

April 26, 2022

KB

Kiana B.

April 26, 2022

???? ?t(t2 + 3t + 2)dt

Top Calculus 1 / AB Educators
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Lectures

Video Thumbnail

05:53

Integrals - Intro

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.

Video Thumbnail

40:35

Area Under Curves - Overview

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.

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Video Transcript

the theme in this problem is the integral of some power Is equal to adding 1 to the exponents. And then I like to instead of dividing by the new experiment. Multiply by the reciprocal and then don't forget about plus C. And the whole thought process is the derivative of this thing that I just did is equal to that and the derivative of a constant is zero. So that's why we need a plus C. So as we're looking at this problem of the integral of you to the sips -2 U. to the 5th uh minus U cubed plus two sevens. Do you you're correct answer is going to be just doing each piece individually. Or you add one to the exponent. Multiply by the reciprocal, add one to the exponent. Now instead of believing this is 26 I can reduce to 6 to 1 third, Add 1 to the excrement. Multiply by the reciprocal And add one to the exponent. Well it just becomes like you to the first because again, the director of 272 needs to be this, and like I said earlier, you need to remember plus E. This is your correct answer.

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Related Topics

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Top Calculus 1 / AB Educators
Catherine Ross

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Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53

Integrals - Intro

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.

Video Thumbnail

40:35

Area Under Curves - Overview

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.

Join Course
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