Ava45018 Ava45018
  • 06-09-2020
  • Mathematics
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How do you do this question?

How do you do this question class=

Respuesta :

MathPhys
MathPhys MathPhys
  • 06-09-2020

Step-by-step explanation:

∫ dt / (cos²(t) ⁹√(1 + tan(t)))

If u = 1 + tan(t), then du = sec²(t) dt.

∫ du / ⁹√u

∫ u^(-1/9) du

9/8 u^(8/9) + C

9/8 (1 + tan(t))^(8/9) + C

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