Basic Integration Problems

This calculus video tutorial provides an introduction into basic integration rules. It explains how to find the antiderivative of a constant k and how to use the power rule for integration. It also explains how to find the indefinite integral of trigonometric functions as well as the antiderivatives of rational functions and radical functions with cube roots. In addition, it explains how to integrate exponential functions such as e^x and how to know when to get natural log functions as the product of indefinite integration.
Antiderivatives: • Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
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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...
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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...
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Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/govJaaCDrapmopY Final Exams and Video Playlists: www.video-tutor.net/

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0:37 Integrating a constant 1:11 Power Rule 5:05 Trigonometric functions 8:59 Exponential Function 10:15 Rational function

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[@bsodmike]

Very clearly explained. Allowed me to quickly refresh my memory, especially with regards to natural logs. Nicely done. Thanks!!

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very soothing voice, I love math and integrals (never been that good at it) though, I leave this video in the background instead of background music!

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[@olli999]

Never learned integration, and my statistics class is hell without it. This really explained everything I need, thank you

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[@existentialrap521]

Taking differential equations. I kinda blanked on all my integrals and had a tough time my first week. Taking time to re-learn this all. Awesome video. Thx BROODA

[@existentialrap521]

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[@samueltorres7013]

Thank you so much it was a great video to help me remember how to solve Integrals now that I'm returning to the university after 2 years of recovery as I suffer a Stroke in 2019 and affected my long-term memory

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[@ricardokhuliso6193]

On 9:59

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[@shankargupta5893]

love them, they're basically anti derivatives

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Such nice lecture

[@uychiha3928]

Can someone explain to me the difference between 2:36 and 10:29? why not use the power rule for some of the equations past 10:29?

[@disabled_tuna]

You can, but you cannot use power rule if the given exponent is -1... Since the formula for power rule is (u^(x + 1)) / (x + 1), the denominator would result to 0, which would make it indeterminate...

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Thank you very much

[@kinghorus8629]

I appreciate your work, I really do but please can you do a video on Laplace transform?😥🙏

[@baburcful]

It's a big task for me to remember to ad the c at the end everytime

[@PrincessOfSlytherin-df9je]

At 10:38 shouldn't there be absolute value signs around x? I thought when taking the integral of 1/x, it would be ln(|x|)?

[@JKMath]

Yep, you are correct! The proper way would be to use absolute value bars around the x.

[@shankargupta5893]

fe^xdx = e^x / ( by chain rule, it's basically reversed it took × but now it'll be helped by division for reverse process.) dx/dx = e^x / 1.

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[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a fantastic video/lecture on Basic Integration Problems in Calculus. The only problem with this video is that the absolute value is missing after the ln at the 10:41 minute mark and several examples that follow in the video. Please correct these errors in the video.

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[@joeyyeet2970]

what rule did you use in 12:20

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Tq lecturer

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omg thank youuuuuuu

[@ezpznoob8092]

oi thx mate im abt to start this unit in HS

[@chavasinyadalmasgulema885]

Thanks

[@MzwandileHarmans]

Isn’t the integral of 1/x equals ln |x| + c ? Or is not important to have that absolute x?

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[@lightonmonday5086]

I was once in this class 🙏❤️

[@thehottalk7606]

Forgetting that c will be the end of me😭😭😭

[@user-br5id5kw1i]

why is my hand not always writing the constant C number

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[@MuhammadAfzal-hl7pl]

Under what condition that happened And what is outcome of these formulas

[@MuhammadAfzal-hl7pl]

Please explain this with examples

[@_Miss.O]

Kindly check at 9:38 minute video the derivative of 7x^-3 should be -21x^-2 before you proceed to give the answer. Thank you!

[@plumbow4390]

its 7 because its 7x - 3 not 7x^-3

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[@thegamingboii6754]

10:05 what is the answer plz can u say i would be grateful

[@harinesh0723]

10.46 - ln

[@skullmax7216]

What is +c doing with every answer. Should we write +c with every answer even there is nothing to do with +c