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Question
Choose the correct options from the given alternatives :
If `int tan^3x*sec^3x*dx = (1/m)sec^mx - (1/n)sec^n x + c, "then" (m, n)` =
Options
(5, 3)
(3, 5)
`(1/5, 1/3)`
(4, 4)
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Solution
(5, 3)
[ Hint : `int tan^3x.sec^3x*dx`
= `int sec^2x*tan^2x*secx tanx*dx`
= `int sec^2x(sec^2x - 1)secx tanx*dx`
Put sec x = t].
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