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Question
Evaluate `int tan^8 x sec^4 x"d"x`
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Solution
I = `int tan^8 x sec^4 x"d"x`
= `int tan^8 x(sec^2x)sec^2 x"d"x`
= `int tan^8x(tan^2 x + 1)sec^2 x"d"x`
= `int tan^10 xsec^2x "d"x + int tan^8x sec^2 x"d"x`
= `(tan^11x)/11 + (tan^9x)/9 + "C"`.
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