inverse trig Derivative arc sin(x)

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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2 ways: log derivative log3(x)

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Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.

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Find the expected value & the variance of a geometric r.v. X

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3ways: Find a formula for the sum 2+4+6+...+2n

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