= [ (23a)" e1¹0z da, Consider the integral n is a natural number greater than 1, When applying integration by parts of J, you get : O a) 10 ((23)² e1¹0² +nf (23a)¹-¹ e¹ e10x dx O b) n 10 ((23a)"e10 -nf (23a)"-¹e1¹0z dz) е 00) n-1 10x dx O c) 23¹² 10 (²+²) " e n n-1 e10x dx O d) 30 ( 20" 10² _ n f 2²-1 23" 10 - J

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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J = [ (23a)" e1¹0² da,
Consider the integral
n is a natural number greater than 1, When applying integration by
parts of J, you get:
O a)
10x
10 (23x)" e¹0 +n (23x)-¹¹0x dx
e
O b)
10 ((23a)"e10s -nf (23a)"-¹e10 da
23"
10
7- (2²e1¹0² +n
xn-1 10x dx
23"
10x
04) 2010 (2²/1)
n-1 e10x dx
O d)
n
Transcribed Image Text:J = [ (23a)" e1¹0² da, Consider the integral n is a natural number greater than 1, When applying integration by parts of J, you get: O a) 10x 10 (23x)" e¹0 +n (23x)-¹¹0x dx e O b) 10 ((23a)"e10s -nf (23a)"-¹e10 da 23" 10 7- (2²e1¹0² +n xn-1 10x dx 23" 10x 04) 2010 (2²/1) n-1 e10x dx O d) n
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