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miv72 [106K]
3 years ago
6

How do you do this question?

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0

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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