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Evaluate the integral. $ \displaystyle \int_0^…

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Problem 20 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int \frac{x}{\sqrt{1 + x^2}}\ dx $


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Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 3

Trigonometric Substitution

Related Topics

Integration Techniques

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Top Calculus 2 / BC Educators
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Missouri State University

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Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

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Watch More Solved Questions in Chapter 7

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44

Video Transcript

here. Ariel of ex pricks up is now Thanks. Taking the derivative here the differential, both sides, the ex poor data. So it's going and plan things and then later we have X So that's tan data also have DEA secret data. Integral of this is he can now to write our final enter back in terms of the very Lex We don't want to stop here. We'Ll have tto go to the trouble. So the hype man knows like a tiger a square is X squared.

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Calculus: Early Transcendentals

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Related Topics

Integration Techniques

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Catherine Ross

Missouri State University

Kayleah Tsai

Harvey Mudd College

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53

Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

Video Thumbnail

27:53

Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

Join Course
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05:55

Evaluate the integral. $ \displaystyle \int \frac{\sqrt{1 + x^2}}{x}\ dx $

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Evaluate the integral. $ \displaystyle \int \frac{x^2}{\sqrt{x^2 + 1}}\ dx $

00:42

Evaluate the indefinite integral. $ \displaystyle \int x \sqrt{1 - x^2} \, d…

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Evaluate the definite integral. $ \displaystyle \int^2_1 x\sqrt{x - 1} \, d…

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Evaluate the integral. $\int \frac{x}{\sqrt{1+x^{2}}} d x$

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evaluate the integral. $$\int \frac{d x}{\sqrt{x^{2}-1}}$$

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