1. Follow the steps below to find the indefinite integral of vx In(x). a) To compute ſ vx In(x) dx, we use integration by parts (the integral is the product of two functions V and In(x)). Choose one of these functions to be u and the other to be using LIATE. u = dv = _dx du = v = b) Using the above choices, write the integral using the integration by parts formula (the only variable involved should be x): | Vĩ In(x)dx = . c) Solve the integral you found in (b) to find the indefinite integral of /īIn(x)
1. Follow the steps below to find the indefinite integral of vx In(x). a) To compute ſ vx In(x) dx, we use integration by parts (the integral is the product of two functions V and In(x)). Choose one of these functions to be u and the other to be using LIATE. u = dv = _dx du = v = b) Using the above choices, write the integral using the integration by parts formula (the only variable involved should be x): | Vĩ In(x)dx = . c) Solve the integral you found in (b) to find the indefinite integral of /īIn(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
1. Follow the steps below to find the indefinite integral of √? ln(?).
a) To compute ∫ √? ln(?) ??, we use
b) Using the above choices, write the integral using the integration by parts formula (the only variable involved should be ?)
c) Solve the integral you found in (b) to find the indefinite integral of √? ln(?)

Transcribed Image Text:1. Follow the steps below to find the indefinite integral of Vx In(x).
a) To compute ſ vī In(x) dx, we use integration by parts (the integral is the product of two
functions Vx and In(x)). Choose one of these functions to be u and the other to be using
LIATE.
u =
dv =
_dx
du =
v =
b) Using the above choices, write the integral using the integration by parts formula (the only
variable involved should be x):
| Vĩ In(x)dx =
--
c) Solve the integral you found in (b) to find the indefinite integral of Vx In(x)
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