Integration by Parts: Example 2
Über den Vortrag
Der Vortrag „Integration by Parts: Example 2“ von Batool Akmal ist Bestandteil des Kurses „Advanced Integration“.
Quiz zum Vortrag
What is the evaluation of the following integral, ∫ln(x) dx ? (Hint: use integration of parts with v' = 1, u = ln(x) )
- xln(x) - x + c
- x + c
- ln(x) + c
- x²ln(x) + c
- xln(x) + x +c
What is the evaluation of the following indefinite integral, ∫ ln²(x) dx ? (Hint: use integration of parts with v' = 1, u = ln²(x) )
- x ln²(x) - 2(x ln(x) - x) + c
- 2x ln²(x) - 2(x ln(x) - x) + c
- x ln²(x) - 2(x ln(x) - 1) + c
- x ln²(x) - 2x ln(x) + c
- x ln²(x) - (x ln(x) - x) + c
To evaluate the integral ∫x tan⁻¹(x) dx using integration by parts, how should u and v' be chosen?
- u= tan⁻¹(x) and v'=x
- u=x and v'=tan⁻¹(x)
- u=tan(x) and v'=x
- u=tan(x) and v'=x²
- u=x² and v'=tan⁻¹(x)
What is the result of the following integral, ∫x sin(6x) dx ?
- (-x/6)cos(6x) + (1/36)sin(6x) + c
- -xcos(6x) + (1/36)sin(6x) + c
- (x/6)cos(6x) + (1/36)sin(6x) + c
- (x/6)cos(6x) - (1/36)sin(6x)+c
- -6xcos(6x) + 36sin(6x) + c
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Dozent des Vortrages Integration by Parts: Example 2
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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