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soldi70 [24.7K]
2 years ago
10

PLEASE HELP!!! I JUST NEED A STEP-BY-STEP!!!!!!

Mathematics
1 answer:
Naya [18.7K]2 years ago
6 0

Answer:

Step-by-step explanation:

=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}x\sec^2(xy)dy\\=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}\sec^2(xy)d(xy)\\=5\displaystyle\int_{0}^{\pi/6}dx\tan(xy)|_{y=0}^{y=2}

=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\

=-\frac{5}{2}\ln{\frac{1}{2}

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