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4. Trial and error. Ex 1. = tan 3x. S dx cos 3x. =S. ← trigonometric substition sin 3x | cos 3x cos 3x. 5213x. Cosx dx u = Ja dx. (1-cos²x) sanx dx. 1053X. 1-42. Cos3x is a triple angle identity in trigonometry. It is a specific case of compound angles identity of the cosine function. Jul 8, 2020 ... Jamia 2013: The value of the expression ( sin 3x/1+ cos x)+( cos 3x/1- sin x) is/are (A) √2 cos ( (π /4)-x ) (B) √2 cos ( (π /4)+x ) (C) √2 ... (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 π π-. ∫. sen3(x - a) cos 3a + cos 3(x - a)sen3a - sen3a. x-a. =cos 3asen3(x - a) x-a+ ... x(cos 3x + 1) =0. Es decir, lim. '→a senx - sena. x-a =3 cos 3a. b ... = !e2X sin 3x + ~e2X cos 3x - if e2x cos 3x dx. 3. 9. 9. => (1 + ~) f e2x cos 3x dx = ~e2X sin 3x + ~e2X cos 3x f e2x. => e2x cos 3x dx = 13(3 sin 3x + 2 cos 3x) ... Refine=1−29​x2+827​x4−8081​x6+4480729​x8+… Enter ... If x is an acute angle and sin ( x + 28 ° ) = cos ( 3 x − 78 ° ) then the angle is · The equation b cos ⁡ x 2 cos 2 x − 1 = b + sin ⁡ x cos 2 ⁡ x − 3 sin ⁡ x ... 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 ... PROBLEM SHEET 11. 11.1 Integrate cos(3x + 4). 11.2 Integrate (1 − 2x)10. 11.3 Integrate e4x-1. 11.4 Integrate (4x + 3)-1. 11.5 Find the equation of the ...