Evaluate the following definite integrals. int_5^{3sqrt5}frac{dx}{sqrt{x^2-9}}

aortiH 2021-02-25 Answered
Evaluate the following definite integrals.
535dxx29
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Expert Answer

au4gsf
Answered 2021-02-26 Author has 95 answers
Given integrals is 535dxx29
Consider x=3 sec(u)
Suvstitute x=3 sec(u) in 535dxx29
535dxx29=sec1(54)sec1(5)sec(u)du
=[ln(tanu+secu)]sec1(54)sec1(5)
=ln(tan(sec1(5))+sec(sec1(5)))ln(tan(sec1(53))+sec(sec1(53)))
=ln(2+5)ln3
=0.34502
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