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# use formulas for the derrivatives of f(x) = tanx and f(x) = secx,... evaluate indef. intergral: sec^2(10x)dx?

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correct thanks

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- 1 decade ago
derivative of tan x=sec^2

so integral of sec^2x=tanx

we want integral of sec^210x

derivative of 10x=10

integral of sec^2 10x=integral of sec^210x divided by derivative of 10x=tan x/10

answer=tan x/10

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