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
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    ∫sec²(10x)dx = tan(10x) / 10 + C

  • 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

  • 1 decade ago

    1/10(,/'tan10x)+c

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