Use a table of integrals to evaluate the following indefinite integral

villane0

villane0

Answered question

2021-12-04

Use a table of integrals to evaluate the following indefinite integrals. Some of the integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.
dx9x2100,x>103

Answer & Explanation

Othrom

Othrom

Beginner2021-12-05Added 15 answers

Step 1
Compute the value of the integral.
Step 2
dx9x2100=dxx2(103)2
=13ln|x+x2(103)2|+C   [dxx2a2=ln|x+x2a2|+C]
=13ln|x+9x2100|+C
Hence, the value of the integral is 13ln|x+9x2100|+C.

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