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d/dx(4 sin (3x)). = 4d/dx(sin (3x)). = 4 × 3 cos (3x)). = 12 cos (3x)). (c)y = e−2x. Solution: To differentiate the given function with respect to x we need 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. Nov 17, 2020 ... The formula for sin 3x is 4 sin x sin(60°-x)sin(60° + X). Upvote ·. 91. Profile photo ... \begin{equation} I = \int \frac{1}{\sin\left(3x\right)}\:dx \end{equation} Let u = 3x to yield: \begin{equation} I = \int \frac{1}{\sin\left(3x\right)}dx = \int ... Note that 3xe-x= (3x+O)e-x and. Page 6. 1929] CHENEY CHECK FORMULAS 221. 4ex sin 3x =ex (O cos 3x+4 sin 3x). As a consequence the complementary function is y ... Apr 30, 2019 ... KCET 2019: If f(x) = begincases ( sin 3x/e2x - 1) &; x ≠ 0 k - 2 ; x = 0 endcases is Continuous at x = 0, then k = (A) (7/2) (B) (3/2) (C) ... Prove that: sin x + sin 3x +sin 5x + sin 7x = 4 cos x cos 2x sin 4x. sin 3x. 4. 3x + 2. (e) lim x(1. -. COS. ) (1). 004X lim x+3. 11m [sin (x-3)]. 2. 9. 3.1 ... sin b - sin a <<< [b].

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