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| Math Central | Quandaries & Queries |
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Question from Akilan, a student: how to integrate these (tan x)^6(sec x)^4 and sinh(x)(cosh(x))^2. Please send me how to do this question. Having exams on Monday. Please help. |
Akilan,
Since sec2 x = 1 + tan2 x you can write
tan6 x sec4 x = tan6 x (sec2 x)(sec2 x) = tan6 x (1 + tan2 x) sec2 x
Now a substitution u = tan x will convert the integrand to a polynomial in u.
For the second integral try the substitution u = cosh x.
Harley
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