Question

Question 1 2 Points Which of the following is the correct evaluation of the indefinite integral $$ \int x^4 \ln(x)dx $$ (A) $$ \frac{x^5 \ln(x)}{5} - \frac{x^4}{5} + C $$ (B) $$ \frac{x^5 \ln(x)}{5} + C $$ (C) $$ \frac{x^5 \ln(x)}{25} + \frac{4x^3}{5} + C $$ (D) $$ \frac{x^5 \ln(x)}{5} - \frac{x^5}{25} + C $$ (E) $$ x^4 \ln(x) - \frac{4x^3}{3} + C $$ (A) (A)

Name: question 1 2 points which of the following is the correct evaluation of the indefinite integral int x4 lnxdx a fracx5 lnx5 fracx45 c b fracx5 lnx5 c c fracx5 lnx25 frac4x35 c d fracx5 lnx5 f 15845
Uploaded: 2024-10-08T14:26:48-08:00
Duration: 1 s
Channel: Zack A
Description: question 1 2 points which of the following is the correct evaluation of the indefinite integral int x4 lnxdx a fracx5 lnx5 fracx45 c b fracx5 lnx5 c c fracx5 lnx25 frac4x35 c d fracx5 lnx5 f 15845

          Question 1
2 Points
Which of the following is the correct evaluation of the indefinite integral
$$ \int x^4 \ln(x)dx $$
(A) $$ \frac{x^5 \ln(x)}{5} - \frac{x^4}{5} + C $$
(B) $$ \frac{x^5 \ln(x)}{5} + C $$
(C) $$ \frac{x^5 \ln(x)}{25} + \frac{4x^3}{5} + C $$
(D) $$ \frac{x^5 \ln(x)}{5} - \frac{x^5}{25} + C $$
(E) $$ x^4 \ln(x) - \frac{4x^3}{3} + C $$
(A) (A)

$question 1 2 points which of the following is the correct evaluation of the indefinite integral int x4 lnxdx a fracx5 lnx5 fracx45 c b fracx5 lnx5 c c fracx5 lnx25 frac4x35 c d fracx5 lnx5 f 15845$

Added by Angela C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zack A

10/08/2024

Step 1

Step 2: Choose u and dv. A common heuristic for choosing u is LIATE (Logarithmic, Inverse trigonometric, Algebraic, Trigonometric, Exponential). In this case, we have a logarithmic function and an algebraic function. So, we choose: $$ u = \ln(x) $$ $$ dv = x^4 dx Show more…

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Question 1 2 Points Which of the following is the correct evaluation of the indefinite integral $$ \int x^4 \ln(x)dx $$ (A) $$ \frac{x^5 \ln(x)}{5} - \frac{x^4}{5} + C $$ (B) $$ \frac{x^5 \ln(x)}{5} + C $$ (C) $$ \frac{x^5 \ln(x)}{25} + \frac{4x^3}{5} + C $$ (D) $$ \frac{x^5 \ln(x)}{5} - \frac{x^5}{25} + C $$ (E) $$ x^4 \ln(x) - \frac{4x^3}{3} + C $$ (A) (A)