L' (s²+4)(s²+9) 3 f cos(2a) sin[3(t – æ)]dx O b) cos(2t) sin(3t) c) None of these 1 * Só cos (2a) sin[3(t – a)]dæ e) 3 cos(2t) sin(3t)

Q: sin (t) -dt 3 (4+ cos (t))?

A:

Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

A:

Q: Find y". y = 6 sin(2x + 10)

A: Given,            y=6sin2x+10

Q: liu cos? (x) 1- sin (x)

A: Formula used: Sin2x + cos2x = 1 a2 - b2 = (a - b)(a + b)

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: cos 2x 12) S 2cos2x sin x – sin x dx -

A: To integrate:∫cos2x2cos2xsinx-sinxdx Solution: ∫cos2x2cos2xsinx-sinxdx On simplifying further we…

Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

A:

Q: cosx dx sinx +1 * Evaluate (A) none of these sen + In|sinx + 1| +C B © e - In|sinx +1| + C 1 ·+ C…

A: According to the problem, we have

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: /2 sin 2x dx Jo 3+cos (2x)

A:

Q: Evaluate f æ° sin (ax²) dx оа. sin (az²) 2a2 z cos (az?) 2a +C b. sin (az?) 2a2 sin (az²) z cos…

A:

Q: -4e sin(7y) 4e sin(7y) ду

A:

Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

A:

Q: -1 (3) cscx = sin X

A: We have to use proper substitutions and properties of analytic function.

Q: If f(x) = .Determine the value of E) (d) 8 (e) None (a)

A: Use the formula for  summation of infinity geometric series.

Q: [9x cos(3x + 8) dx = Select one: a. 3x sin(3x+8)-cos(3x+8) O b. 3x sin(3x+8)+cos(3x+8) C. d. + C + C…

A:

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

A:

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: Compute*cos(Inx)dx. 1 A.-—-e (cos1-sin1) - 2 2 1 B.- e 1 C.-e TT 1 2 e

A:

Q: sec(2) tan(2) – 1 dz 3.

A:

Q: b) if J(zf64)} - 39ga) ) ce = Sin () %3D and S(3f (x)+9 6)) dx = tan () 2. 2. +596)) dx

A:

Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

A:

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

A:

Q: coS(T/11)-cos(2t/11)+cos(3t/11)-cos(4Tt/11)+cos(5rt/11)=?

A: To determine the value of the below expression. cosπ11−cos2π11+cos3π11−cos4π11+cos5π11

Q: Evaluate sin (ax) (ax) V3 (2ах) da Cos

A:

Q: • / esc" (2) dz (z) dz 19.

A:

Q: b) S. cos x cos 7x dx

A:

Q: (c) /* sin 6. 3 sin Od0 (0)

A:

Q: (e) S, In|x| dx.

A:

Q: sin x (cos x + 4) dx 1+cos²x

A: SOLUTION-

Q: t 3X +5) C

A: on doing integration we get