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snow_lady [41]
3 years ago
12

Find the areas of each

Mathematics
1 answer:
hjlf3 years ago
6 0
To find the area of each triangle, you just have to multiply the base(bottom) times the height and then divide your answer by 2.  Works for all triangles.
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Integrate t sec^2 (2t) dt
Neporo4naja [7]
F = t ⇨ df = dt 
dg = sec² 2t dt ⇨ g = (1/2) tan 2t 
⇔ 
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt 
u = 2t ⇨ du = 2 dt 

As integral of tan u = - ln (cos (u)), you get : 

integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant 
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant 
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer 
8 0
3 years ago
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2 years ago
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sveta [45]

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snow_tiger [21]

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