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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Follow the steps below to find the indefinite integral of √? ln(?).
a) To compute ∫ √? ln(?) ??, we use integration by parts (the integral is the product of two functions √? and ln(?)). Choose one of these functions to be ? and the other to be ??/?? using LIATE.

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(?)

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)
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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