Tìm hiểu về các phép biến đổi lượng giác liên quan đến sin^3x.

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[They replaced u by x instead of by 3x + 2]. According to Maple, the answer is: 1/12 (cos (3x + 2)). 3 sin (3x +2)+1/8 cos (3x + 2) sin (3x +2)+3/8x + 1/4. But ... ... sin x sin 2x sin 3x ··· sin nx. Calculate f (n) n (0). Solution by Henry Ricardo, Westchester Area Math Circle. We will show that f (n) n (0) = (n!)2. The ... 3x dx. ∫. ;. (d) cos(3x)sin(3x)dx. ∫ . 5. Evaluate the integral. 0 exp(2sin )cos x x dx π. ∫ . 6. Evaluate cos(2 ) x x dx. ... sin(3x)dx. (f). ∫ 2. 1 x3 lnx dx. Hint: Try integration by parts. 2. Compute ... sin(3x) + C. (f) Integration by parts. Answer: ∫ 2. 1 x3 lnx dx = 1. 4 x4 ... sin 3x. 2x. Example. Find lim x→0 cos ax − cos bx x2. Tools: cos x − cos ... sin 3x − sin x. , lim x→0. 1 − cos x x tan x. 33 / 34. Page 34. summary. (one ... 1+ sin 3x. SECTION 102. 0

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sin^3x


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