Download the App!

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

Get the answer to your homework problem.

Try Numerade free for 30 days

Continue

Input your name and email to request the answer

Like

Report

Evaluate the given integral.$$\int \frac{1}{a x+b} d x$$

$$\frac{1}{a} \ln |a x+b|+c$$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 3

The Substitution Method

Integrals

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

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.

07:51

Evaluate the integral.

01:44

Evaluate the integral.…

01:15

Evaluate the integrals.

01:06

Calculate.$$\int(a x+b…

02:11

Evaluate the following int…

01:49

01:03

Calculate.$$\int\left(…

02:12

No transcript available

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:32

Evaluate the given integral and check your answer.$$\int 3 d x$$

02:21

Evaluate the given integral.$$\int_{2}^{3} \int_{2 y}^{y^{2}}\left(x^{2}…

00:59

Find the critical points.$$f(x, y, z)=2 x^{2}+2 y^{2}+3 z^{2}+2 x y+3 x …

02:29

For $f(x, y)=3 x^{2}-18 x+4 y^{2}-24 y+10,$ find the point(s) at which $f_{x…

04:25

Find (a) $f_{x x}(x, y),$ (b) $f_{y y}(x, y),$ (c) $f_{x y}(x, y),$ and $f_{…

02:46

Use the method of Lagrange multipliers to optimize $f$ as indicated, subject…

01:29

Determine the area of the region bounded by the given curves.The region …

01:56

Evaluate the given integral and check your answer.$$\int\left(2 r^{3}-\f…

02:20

Sketch the area represented by the given definite integral.Integral in E…

01:43

Determine $G(x)$.$$G(x)=\int_{0}^{x} t^{2} d t$$