Integration: Exercise 3
Über den Vortrag
Der Vortrag „Integration: Exercise 3“ von Batool Akmal ist Bestandteil des Kurses „Advanced Integration“.
Quiz zum Vortrag
To evaluate the integral ∫ x/(2x + 1)² dx using the integration by parts method, how should u and v' be chosen?
- u = x and v' = (2x + 1)⁻²
- u = x(2x + 1)⁻¹ and v' = (2x + 1)⁻¹
- u = (2x + 1)⁻² and v' = x
- u = (2x + 1)⁻¹ and v' = x(2x + 1)⁻¹
- u = x(2x + 1)⁻² and v' = 1
What is the evaluation of the integral ∫x/(2x+1)²dx ? Use integration by parts.
- (1/4)ln|2x + 1| - x / (4x + 2) + c
- (1/2)ln|2x + 1| - x/(2x + 1) + c
- (-1/4)ln|2x + 1| + x / (4x + 2) + c
- ln|2x + 1| - x / (2x + 1) + c
- (1/2)ln(2x + 1) - x / (2x + 1) + c
What is the evaluation of the indefinite integral ∫2x/(x + 1)⁴ dx ? Use integration by parts.
- (-1/3) / (x + 1)² - (2/3)x/(x + 1)³ + c
- (-1/3) / (x + 1) - (1/3)x/(x + 1)³ + c
- (+1/3) / (x + 1)² + (2/3)x/(x + 1)³ + c
- (+1/3) / (x + 1) + (1/3)x/(x + 1)³ + c
- (-1/3)x / (x + 1)² - (2/3)/(x + 1)³ + c
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Dozent des Vortrages Integration: Exercise 3
Batool Akmal
Batool Akmal is the founder of A-level Maths Cardiff; a mathematics tuition and revision company in Wales, UK.
She obtained her Mathematics and Physics Degree, and Postgraduate Certificate in Education from Cardiff University.
She was the Director of the Honours Programme at St. David’s Catholic College from 2012 to 2016 and Head of Numeracy from 2017-2019.
Within Lecturio, Batool Akmal teaches courses on Calculus.
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