Indefinite Integral

This calculus video tutorial explains how to find the indefinite integral of a function. It explains how to integrate polynomial functions and how to perform indefinite integration on trigonometric functions as well. It explains how to simplify, foil, and expand binomials and polynomials before finding the antiderivative of the function. You need to be familiar with special pythagorean identities in trigonometry to answer some questions in this video. This tutorial contains plenty of examples and practice problems on indefinite integration.
Antiderivatives:
• Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
_______________________________
Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
________________________________
Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
__________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

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the antiderivative of 1/x should be the ln|x| right?

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yes, because 1 is the derivative of x, so we have du/u

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Thank you sir.... that was a great example

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In one problem I saw it in the format of a quadratic expression so could we use the quadratic formula to solve for x and find out the real answer?

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And what if the denominator is 2x ,how do I solve

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The only thing i have confused is the last one indefinite integral with trigonometric

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Who would dislike this

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on the Indefinite Integral in Calculus One/ Two. There is an absolute value sign missing in your final example after the ln. Please correct this small error in the video.

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couldn't you have simplifed 2/3 * x^3/2 to just x^3/3 ?? 2:05

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u forgot the absolute value at 7：50

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Sec is a trigonometric function

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