Evaluating Integrals Using Integration by Parts | Math with Professor V

Examples using integration by parts to evaluate indefinite and definite integrals. Example demonstrating tabular integration, and using the acronym "LIPET" to help choose "u" appropriately. A MUST for any Calculus student!
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Calculus 2 Lecture Videos on Integration:
Integration by parts: • Calculus 2: Integratio...
Tabular Integration: • Integration by Parts -...
Trigonometric integrals: • Calculus 2: Trigonomet...
Trigonometric Substitution: • Calculus 2: Trigonomet...
Partial Fraction Decomposition: • Calculus 2: Integratio...
Strategy for Integration: • Calculus 2: Strategy f...
Improper Integrals: • Calculus 2: Improper I...
Trig Review:
Unit Circle: • Trigonometry: Circular...
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Double Angle & Half-Angle Formulas: • Precalculus: The Doubl...
Calculus 3 Video Lectures:
• Calculus 3 Video Lectures
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[@sl43501]

Thank you!!!!!!!!!!!

[@mathwithprofessorv]

You’re so welcome 🥰🥰💕

[@abdikadirsalad1572]

thanks

[@mathwithprofessorv]

You're welcome!

[@Drwhitemeat]

i think there is an error on question 4. when you distributed the 5/2(x) at 25:40. you dont distribute the x for the second part of (x-1/2sin2x). so the final answer should be (5/4)(x^2)-(5/4)(x)sin2x-(5/8)cos2x+C

[@mathwithprofessorv]

Yes thank you, good eye!

[@Jon-tp6gr]

Can you use the Tubular method on every problem?

[@philasandenkosi8568]

The LIPET Rule And ILATE Rule Contradict each other on what comes first more especially with the exponential functions, why?

[@mathwithprofessorv]

When I teach I refer to these as guidelines/suggestions to help choose u, rather than hard and fast rules. There are always exceptions, so they work the majority of the time but not always. One famous integral where it doesn’t matter if you let u be the trig or exponential function is the product of e^x and cosx or sinx (it boomerangs). I don’t really emphasize either in my classroom.