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Question:
iif the index of tanx is 5 then what is it antiderivative
Answer:

Given index of tan x is 5 i.e. its power is 5

Let y = tan5 x

Now, differentiate w.r.t. x, we get

      dy/dx = d(tan5 x)/dx

=> dy/dx = 5 * tan4 x * sec2 x

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