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Evaluate the integral by making the given substitution.$\int \frac{\sec ^{2}(1 / x)}{x^{2}} d x, \quad u=1 / x$
$-\tan \left(\frac{1}{x}\right)+C$
Calculus 1 / AB
Calculus 2 / BC
Chapter 5
Integrals
Section 4
The Substitution Rule
Integration Techniques
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Campbell University
Oregon State University
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Okay, So if we let you is equal to one over X, we have d'you is equal to negative one over X squared or negative d'you is equal to positive one over x square times dx evasive. Therefore we can rewrite are integral as negative because we pulled in the year of one out cast the integral of seek and squared of you Do you which equal to negative tangent of you plus c back substituting we use equal to one over X. We can end up their final answer off Negative attention of one over x plus seat
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