Giải phương trình sin^3x + cos^3x = 1.

M(x) = e2x cos 3x sin 3x. - sin 3x cos 3x. & Y = M(x)C = e2x c1 cos 3x. - sin 3x. + c2 sin 3x cos 3x. (b) Find the solution of the initial value problem. M(0)C ... y = sin x + cos x ⇒. 9. y = 4x + √1 − x ⇒. 10. y = (x + 1)/p5x2 + 35 ⇒. 11. y = x5 − x ⇒. 12. y = 6x + sin 3x ⇒. 13. y = x + 1/x ⇒. 14. y = x2 + 1/x ... 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. [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 ... Now, we would like to guess that the particular solution is Acos 3x+B sin 3x, but both cos 3x and sin3x are solutions to the homogeneous equation. Hence, we ... Jul 24, 2016 ... Explanation: This limit is indeterminate since direct substitution yields 00 , which means that we can apply L'Hospital's rule, which simply ... Sep 11, 2014 ... The limit $$\lim_{x \rightarrow 0} \frac{\sin(x)}{x} = 1$$ is an important and standard one, but proving it takes a bit of ingenuity. x sin(3x) dx. 59. Z x2 ln x dx. 60. Z ex sin x dx. 61. Z cos2 x dx. Use ... x sin(3x) dx = -. 1. 3 x cos(3x) +. 1. 9 sin(3x) + C. 59. Z x2 ln x dx = 1. 3 x3 ... Maclaurin series sin(3x). Natural Language; Math Input. Have a question about using Wolfram|Alpha?Contact Pro Premium Expert Support ». 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 ...