(cos 0 -sin 0) d0 7. J sin 0

Q: (8 cos x + 9 sin x) dx

A: SOLUTION-

Q: x = cos(30), y = 2 sin(0).

A: The parametric equations are given as, The the corresponding derivatives are calculated as,

Q: 2 cos @ dӨ . 1- sin 0

A:

Q: Find sin (0). Cos (0) = 4 Show your work here

A:

Q: 6. Find Sin 5x (b) y = THcos 5x dx

A:

Q: S sin5 3 x cos' 3 xdx

A:

Q: i) Find sin 6x+ cos 4x dx. 3 ii) Evaluate || et -dx . Hence, solve 2e* dx . (* +2)" +2

A:

Q: f/² sin (1) 4x ; (**) sin (²) COS (²) dx (Consider initially the first 2 terms)

A: ∫vn dv =vn+1n+1+C

Q: y = sin' x- cos 3 – cos' x cos³

A:

Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

A:

Q: 1.Solve tan y dx cot x dy = 0, cos y + 0, sin x

A: Here the given differential equations are 1st order linear differential equation. As stated we will…

Q: (cos 0 -sin 0) d0 7. J sin 0 8. J (1 – tan 0)² de. 9. sec2 0 tan² 0 d0.

A: 7. Given integral, ∫cos θ-sin θsin θdθ

Q: 4. J (cos x – sin x)²dx

A:

Q: cos

A:

Q: (d) (sin(x + cos(2x + 3√)))'

A:

Q: Number 23

A: we have to find definite intregral of given question

Q: cos(3t) sin(8t) dt

A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

Q: 4. ["s 0 sinx + 2 cos x dx

A:

Q: ∫cos(3t)sin(8t)dt

A:

Q: 37. 2(cos x)-/2 sin x dx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: S sin(4x + 3)cos(3x – 5)dx -

A:

Q: (2) S sin6 x+cos6 x sin³ x cos³ x dx

A: See this solution in below.

Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

A:

Q: 4. f cos? 2x 4. cos? 2x sin 2x dx 2 2 5. f sin¹¹ ²3x cos / x 3x dx

A:

Q: 1. [* sin' y cos' ydy 3

A:

Q: Evaluate the integral.

A:

Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: (a) S sin³ cos dx . 3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4 cos () dx 10. x³ sin3

A:

Q: (#5) ſ cos³ (x)sin*(x)dx =

A: Given the function,

Q: y = sin(3x) + cos(0.5x)

A: Given: y=sin(3*x)+cos(0.5*x) We have to determine the value of y,where x varies from 0 to 2pi in an…

Q: )S sin cos5 x dx

A: Solve the following integral

Q: Find cos x + sin 2x dx 19. sin x

A:

Q: x³ + y³ + 3 x² siny tan z = 5 az dz and əx Find ду

A: Given,          x3+y3+3x2sinytanz=5

Q: cos (3x) · (8 sin (3x) – 1) dx = %3D

A: Given that : The integral is ∫ cos ( 3x ) ( 8 sin ( 3x ) - 1) dx  .

Q: 39. cos (T + x) 40. sin (2m- xr) 學一) 37T 42. cos 41. sin -

A:

Q: 2. S sin*(2x)cos²(2x) dx 4

A:

Q: f/² sin (3) 4x COS ; (**) sin (*) dx (Consider initially the first 2 terms)

A:

Q: evaluate the integral.

A:

Q: 11. sin(x) + cos(y) = ey

A:

Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: (2 cos x + 7 sin x) dx

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: 4. sin+ cosx – 1 = 0 (L3)

A: Solution of problem (L3) 4

Q: sin 0 cos 0 d0. Jo 0,

A: Here we to solve definite integral.

Q: dx |2 sin 2 sin x — сoS X

A: I have appended the formula used in the solution part

Q: evaluate the integral.

A:

Q: * /2 2 sinh (sin 0) cos 0 d0

A:

Q: S sin(3x)cos(2x)dx

A:

Q: 5TT i sin' cos*dx 4x. 4x, 8. 5

A:

Q: S sin 3x cos xdx

A: