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Problem

Evaluate the indefinite integral. $ \displayst…
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Problem 20 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{z^2}{z^3 + 1} \, dz $

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01:23

Frank Lin

Related Courses

Calculus 1 / AB
Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Related Topics

Integrals

Integration

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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

We know that you iss cubed cost one Which means the Z square daisy is Do you divide by three which would be composed The constant 1/3. Multiply it by one over you, do you which gives us 1/3 comes natural log of you and I we can substitute you is C cubed plus one plus c.

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Related Topics

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Top Calculus 1 / AB Educators
Heather Zimmers

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Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Joseph Lentino

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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