3. Find S sin5 x cos* x dx.

Q: 3 4) Find / sin (2x) cos (2x)dx

A:

Q: -T/4 sin x 1+cos²x

A:

Q: 4. Evaluate sin (x) cos°(x)dx

A: To evaluate the integral

Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

Q: 5. S(sin3x + cos2x)²dx

A: To find : ∫sin3x+cos2x2dx

Q: dx of SC 1+ cos X

A:

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

A:

Q: Prove that x2 cos x dx = T(2 – n) (+ sin æ)?

A:

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

A:

Q: 7/2 S 3 cos (x) sin°(æ) dx =

A:

Q: 5. " cos (w) sin* (;w) dw -2n

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Compute and * for the equation sin(x)e +2z²y = cos(z). 4xz COS ду

A: sinxe4xz + 2z2y = cosz∂z∂x = ?∂z∂y = ?   While calculating ∂z∂x  variable y will be considered as…

Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x %3D

A: NOTE:according to company rules I need to solve first question when multiple questions are posted

Q: 2x, given tan x= 2 and cos x is less than 0

A: Given tan x = 2 and cos x < 0.

Q: 6. Evaluate A sin³ x cos4 x dx.

A:

Q: what is y' of y=sin-1(cos x)

A:

Q: 5. Find y', if y 2cosx sin2x – sinx cos2x %3D

A:

Q: Q2- Show that, 2 sin x |Jo(x cos 0) cos 0 d0

A: We have to prove sinxx=∫0π2J0(xcosθ)cosθdθ                     (1) Since we know…

Q: 2. Write –2 cos x – 3 sin x in the form R cos(x – a) with -7 < a < T. Round to three decimal places.

A: Answer is given in asked form.

Q: 3. Find y' for y = cos(sin² x)

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

Q: T/2 cosx dx (4 +2 sin x)3

A:

Q: 5. f sin$22x cos22x dx

A: The given integral is  ∫ sin522x·cos222x dx

Q: find dy. = cos (x2)

A: Given- y=cosx2 To find- The value of dydx. Formula used- ddxcosx=-sinx.

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx-

A: To evaluate we first multiply and divide by 2 the given function.  Then use the formula: 2(sin(mx)…

Q: Evaluate o (3 sin x – 5 cos x) dx.

A:

Q: 14. Evaluate cos 3x+ dx. 2

A:

Q: 4) Find when y? – x² + cos(x + y) = 0

A:

Q: The smallest positive number for which sin(t) - cos(2t) = 0 is t =

A:

Q: 2- y = prove that (sin x) = cos x %3D dx

A: Topic:- derivatives

Q: ,2x Set* sin(e2*)dx

A:

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: 5. Evaluate 1. S, sin(x2) dx

A:

Q: 2. Evaluate 2 sin1ºx cos0x dx.

A:

Q: Evaluate sin z -dx /4 - coS I

A: Use the substitution method and first simplify the integration than integrate.

Q: find dy /dx for the following 3 2 -1 Y3x'+Sin x+ Sin5X

A:

Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: 10. Evaluate cos x sin² x dx

A:

Q: 1 dx J 3 sin x+4 cos x+3

A:

Q: Evaluate: [e* 1+ sin 2x dx 1+ cos 2x

A: Topic:- Integration

Q: 3 Q19- if z =- 4x³y sin sin (x³y) əz find əx

A: We want to find partial derivative of the given function.

Q: What is the value of d. (sin x3 dx cos x²)? COS

A:

Q: Q1-Find S sin 3x e4* dx

A: let I=∫sin3x e4xdx using by parts I=e4x∫sin3x-∫ddxe4x∫sin3xdxdx simplify I=e4x∫sin3x-∫12e4xcos3xdx…

Q: 1. S 3 cos("/x) x2

A: "Since you have asked multiple questions , we will solved the multiple questions for you. If you…

Q: Evaluate 1) S sin ³x cos³x dx

A: Given: ∫sin3(x)cos3(x) dx

Q: 3 Evaluate cos x sin x dx.

A:

Q: Use the double-angle formula cos 2x = 2 cos x – 1 to evaluate the integral 1 1+ cos 2x dx

A: The given integral is ∫11+cos2xdx

Q: O Find the solutions of : 1+sinx=2(cosx)´ in the interval 0<x<2T.

A:

Q: 3 Evaluate COs x sin æ dx. sin*(x) X + C

A: