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Which expression has an answer of 18?
Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. The second option does result in 18. The numbers in parentheses are added first and result in 9, which is then multiplied through 2 to get a final answer of 18. Choice c does not work since the operation in parentheses is completed first, yielding 6, that are then multiplied through 5 to get a result of 30. Choice d does not work since the multiplication is done first, yielding 8, which is added to 5 for a final answer of 13.
∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x
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