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Solved: Preliminary work Use a table of integrals to
Chapter 7, Problem 29E(choose chapter or problem)
Preliminary work Use a table of integrals to evaluate the following indefinite integrals. These integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.
\(\int \frac{\tan ^{-1} x^{3}}{x^{4}} d x\)
Questions & Answers
QUESTION:
Preliminary work Use a table of integrals to evaluate the following indefinite integrals. These integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.
\(\int \frac{\tan ^{-1} x^{3}}{x^{4}} d x\)
ANSWER:Solution:-
Step1
Given that
Step2
To find
Use a table of integrals to evaluate the following indefinite integrals. These integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.
Step3
Multiply 3in numerator and denominator we get