integral of tan^2x*sec^4x, calculus 2 tutorial

integral of tan^2x*sec^4x,
trig integral with strategy,
integral of tan(x) and sec(x)
Check out my 100 integrals for more integration practice for your Calculus 1 or calculus 2 class. • 100 integrals (world r...
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[@seegeeaye]

The integral = integral of (tanx)^2(1 + (tanx)^2) d(tanx) = (1/3)(tanx)^3 + (1/5)(tanx)^5 + C

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[@blackpenredpen]

sorry, i don't have a translator to help me with cc in spanish..
thank you for your comment : )

[@EricWL19]

How can i integrate 5 tan^4(x) sec^3(x) dx?

[@ernestschoenmakers8181]

Apply the reduction formula to this integral and you'll find this outcome:
I = (1/48)*[15*lnItan(x)+sec(x)I + 40*sec^5(x) - 70*sec^3(x) + 15*sec(x)tan(x)]+C.

[@leonelpineda2366]

Can someone help with this T.T
Integral of xtan^8(x^2)sec^4(x^2)dx

[@milesspearman3134]

How did you get rid of the sec^2 on the outside of the equation? I understand that the sec^2 was equal to the derivative of U but does that automatically cancel it out of the problem when you are done?

[@mrbanana6464]

Your comment is five years old and you're probably not in school anymore, but just in case anyone needs clarification: When you solve for dx you get dx = du/sec^2x. When you plug dx in the sec^2 cancels out.

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Help me (integral of tan^3x*sec^3x)dx

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